Lattice QCD+QED: Towards a Quantitative Understanding of the Stability of Matter
|
|
- Dora Scott
- 5 years ago
- Views:
Transcription
1 Lattice QCD+QED: Towards a Quantitative Understanding of the Stability of Matter G Schierholz Deutsches Elektronen-Synchrotron DESY
2 The Challenge (Mn Mp)QED [MeV] Helium Stars Exp No Fusion α EM No Fusion Helium Stars (M n M p ) QCD [MeV] m u /m d Having an analytic expression for the nucleon mass as a function of quark masses and α EM, we can visualize the allowed region
3 If m u /m d 08 even, protons would decay spontaneously to neutrons
4 The neutron proton mass difference is one of the most consequential quantities of physics It is extremely fine tuned for the stability of matter as we know it and the existence of our Universe This calls for a calculation from first principles Lattice Gauge Theory is the method of choice Lattice calculations are now reaching a level of precision, where it is possible to address isospin breaking effects These effects have two sources, the mass difference of u and d quarks, and electromagnetic interactions Both effects are of the same order of magnitude and cannot be separated unambiguously due to the nonperturbative nature of the strong interactions, which makes a direct calculation from QCD + QED necessary
5 Other issues We would like to be sure that m u > 0, since this empowers the P- and T-violating θ parameter The ratio m u /m d determines the axion coupling and plays a vital role in pinning down the underlying parameters if and when axions are observed There is the prospect of making precise predictions for appropriate isospin violating processes Lattice calculations of hadronic processes are approaching O(1%) precision At this level electromagnetic corrections must be included in the calculation
6 Outline Lattice QCD + QED Vacuum Structure Flavor Physics and Spectroscopy Isospin Splittings Conclusions
7 Lattice QCD + QED BMW arxiv: QCDSF arxiv: arxiv: arxiv: Octet baryons Vacuum structure Octet mesons Octet baryons Light quark masses
8 With J Charvetto (Adelaide), R Horsley (Edinburgh), Y Nakamura (Kobe), H Perlt (Leipzig), D Pleiter (Jülich), D Leinweber (Adelaide), PEL Rakow (Liverpool), A Schiller (Leipzig), H Stüben (Hamburg), R Young (Adelaide), J Zanotti (Adelaide)
9 Action S = S G + S QED + S u F + Sd F + Ss F S G = 6 g 2 x,µ<ν S QED = 1 2e 2 S q F = x 1 { } 3 Tr c 0 [1 U µν (x)] + c 1 [1 R µν (x)] x,µ<ν (A µ (x) + A ν (x + µ) A µ (x + ν) A ν (x)) 2 noncompact { [q(x) γ µ 1 e ie qaµ(x)ũ µ (x)q(x + ˆµ) 2 µ q(x) γ µ + 1 e ieqaµ(x ˆµ) Ũ µ (x ˆµ)q(x ˆµ)] κ q q(x)q(x) 1 4 c SW µν } q(x)σ µν F µν (x)q(x) Lattice spacing a implicit e u = 2 3, e d = e s = 1 3
10 U µ (x) a q(x) q(x + ae µ ) µ ν aλ L = exp{ 2b 0 /g 2 } The simulation Generate a sequence of field configurations {U (i) µ,a(i) µ i = 1,,N} with probability ΠDqD qexp{ S q F }exp{ S G S A } = det(m)exp{ S G S A } matrix Compute observable O = 1 N N i O(U (i) µ,a(i) µ ) At the end of the calculation L, a 0
11 Volumes Couplings β 6 = 550 a = 0068(2)fermi g2 Hopping parameters κ fixed at symmetric point κ u = , κ d = κ s = t 0[fm] Valence quark masses µ q ranging from M PS /M N = 022 to a 2 [fm 2 ] α EM e2 4π = 010 α EM = 1/137 Quark sea flavor blind (ie flavor singlet)
12 Vacuum Structure Density of QCD (aqua) and QED (yellow) actions Electromagnetic field strength repelled by chromoelectric one
13 Density of positive (red) and negative (purple) charge compared with QCD action density Density of positive (red) and negative (purple) charge compared with QED action density (Charvetto)
14 Chiral Magnetic Effect Excess of right-handed quarks due to chiral anomaly = p s p J, s B We find evidence for J B to be correlated with position of instanton Instanton
15 Flavor Physics and Spectroscopy K 0 (d s) 1 Y K + (u s) n(udd) 1 Y p(uud) π (dū) π 0 π + (u d) 1 η 8 1 I 3 Σ (dds) Σ 0 1 Λ 8 1 Σ + (uus) I 3 K (sū) 1 K0 (s d) Ξ (dss) 1 Ξ 0 (uss) < 1%
16 Strategy arxiv: QCD interactions are flavor blind The only difference between flavors comes from the quark mass matrix In lattice calculations one can vary the quark masses freely, which helps to illuminate the pattern of flavor symmetry breaking One has the best theoretical understanding when all quark masses are equal, because one can use the full power of flavor SU(3) We interpolate between the symmetric point µ u = µ d = µ s and the physical point by keeping the sum of the quark masses (µ u + µ d + µ s )/3 m fixed at its physical value, which is particularly instructive The symmetry of the electromagnetic current is similar to the symmetry of the quark mass matrix The simplifications from keeping m = constant in the mass expansion are analog to the simplifications from the identity e u +e d +e s = 0 We thus can read off the QED corrections from the mass expansion changing masses to charges
17 QCD Gell-Mann Okubo , 27 M 2 (a b) = M α(δµ a + δµ b ) + M 2 (aab) = M α 1(2δµ a + δµ b ) + α 2 (δµ a δµ b ) + δµ q = µ q m δµ u + δµ d + δµ s = π K η 14 N Λ Σ Ξ M PS 2 /X2 π M N 2 /X2 N (δµ u +δµ d )/ (δµ u +δµ d )/2 X 2 π =(M2 K 0 +M 2 K + +2M 2 π 0 M 2 π + )/3 X 2 N =(M2 n +M2 p +M2 Σ +M 2 Σ + +M 2 Ξ +M 2 Ξ 0 )/6
18 3 M PS 2 (a b)/x π π K η δµ q = µ q m arxiv: (δµ a +δµ b )/2
19 Spectrum 80% of mass M [MeV] π K η s ρ K* ϕ s N Λ Σ Ξ Σ* Ξ* Ω Dual superconductor
20 QCD + QED M 2 (a b) = M α(δµ a + δµ b ) + β EM 1 (e a e b ) 2 Dashen scheme + γ EM 1 (e a e b ) 2 (δµ a + δµ b ) + γ EM 2 (e 2 a e2 b )(δµ a δµ b ) M 2 π 0 = M α(δµ u + δµ d ) M 2 K 0 = M α(δµ d + δµ s ) Used to fix physical quarkmasses µ u, µ d
21 π 0 a 2 M PS 2 (a b) e q = 1 3, 0, δµ a +δµ b 2 15 K 0 M PS 2 /X2 π 1 05 π 0 Fit (δµ u +δµ d )/2
22 1 8 M 2 (aab) = M α 1(2δµ a + δµ b ) + α 2 (δµ a δµ b ) + β EM 1 (2e 2 a + e2 b ) + βem 2 (e a e b ) 2 + β 3 (e 2 a e2 b ) a 2 M N 2 (aab) N M N 2 /X2 N Ξ Σ N δµ a +δµ b (δµ u +δµ d )/2
23 Isospin Splittings Quark Masses M 2 π 0 = M α(δµ u + δµ d ) = α(µ u + µ d ) M 2 K 0 = M α(δµ d + δµ s ) = α(µ d + µ s ) } µ u +µ d +µ s = constant m q = Z MS m (2GeV) ZMS D µ q m u = 249(14)MeV m d = 480(27)MeV m s = 945(52) MeV RBC-UKQCD RM123 MILC QCDSF m u m d = 052(2), m s m d = 197(9) m u /m d
24 Meson Octet MPS[MeV] π + π 0 K + K a/l M π + = α ( EM 2L c ) + 2πα EM M π +L 3L 3 ( 1 + 4π ) M π +L c 1 r 2 π ++ Davoudi & Savage
25 Baryon Octet 10 MN [MeV] Ξ Ξ 0 p n -10 Σ + Σ a/l M p = α ( EM 2L c ) + 2πα EM M p L 3L 3 ( 1 + 4π ) M π +L c 1 r 2 p + Davoudi & Savage
26 Splittings M QCD + QED QED Experiment M π + M π 0 460(20) 459 M K 0 M K + 409(10) 166(6) 393 M n M p 135(18)(8) 220(28)(10) 130 M Σ M Σ + 760(73)(8) 063(8)(6) 808 M Ξ M Ξ 0 610(55)(45) 126(16)(13) M [MeV] π K N Σ Ξ M n M p + M Σ + M Σ + M Ξ M Ξ 0 = 0 10 Coleman Glashow
27 QCD vs QED arxiv: Exp (Mn Mp)QED [MeV] (M n M p ) QCD [MeV] Dashen scheme MS
28 Analytic Solution? Renormalization Group Tells us how the bare parameters of the theory must behave to keep the physics constant as the cut-off is varied ln m u /m d ln µ = 0 e2 8π 2 + e2 12π 2 ( 4 m2 u µ m2 d 2 µ 2 ) µ = 1/a QCD QED γ EM q = 3e2 q 8π 2 [ 1 m2 q µ 2 ln ( 1 + µ2 m 2 q )] Solution m u = 1 e m d 2 µ 8π 2 = e2 16π 2 ln µ + O(e4 )
29 Conclusions Flavor and isospin symmetry breaking of hadron masses follow a very simple pattern, made visible by systematic lattice simulations of QCD + QED So far we have investigated isospin breaking of pseudoscalar meson and octet baryon masses That allowed us to look simultaneously at both sources of isospin breaking, the quark mass differences and electromagnetic interactions, which are of comparable importance The stability of matter, and the existence of the Universe as we know it, largely hinges on the ratio of up to down quark mass From a broader perspective, we can look forward to a better understanding of the QCD vacuum and the mechanism of confinement and chiral symmetry breaking With increased computer power it will be possible to improve on the precision of the calculation, which is still limited
Lattice QCD+QED. Towards a Quantitative Understanding of the Stability of Matter. G. Schierholz. Deutsches Elektronen-Synchrotron DESY
Lattice QCD+QED Towards a Quantitative Understanding of the Stability of Matter G. Schierholz Deutsches Elektronen-Synchrotron DESY The Challenge (Mn Mp)QED [MeV] 0-1 -2 1 2 Helium Stars Exp No Fusion
More informationOctet baryon mass splittings from up-down quark mass differences
Octet baryon mass splittings from up-down quark mass differences a, J. Najjar b, Y. Nakamura c, D. Pleiter db, P. E. L. Rakow e, G. Schierholz f and J. M. Zanotti g a School of Physics and Astronomy, University
More informationarxiv: v2 [hep-lat] 22 Sep 2011
DESY 11-030 Edinburgh 2011/09 LTH 909 September 22, 2011 arxiv:1102.5300v2 [hep-lat] 22 Sep 2011 Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange
More informationMeson wave functions from the lattice. Wolfram Schroers
Meson wave functions from the lattice Wolfram Schroers QCDSF/UKQCD Collaboration V.M. Braun, M. Göckeler, R. Horsley, H. Perlt, D. Pleiter, P.E.L. Rakow, G. Schierholz, A. Schiller, W. Schroers, H. Stüben,
More informationIsospin and Electromagnetism
Extreme Scale Computing Workshop, December 9 11, 2008 p. 1/11 Isospin and Electromagnetism Steven Gottlieb Extreme Scale Computing Workshop, December 9 11, 2008 p. 2/11 Questions In the exascale era, for
More informationJanuary 31, PHY357 Lecture 8. Quark composition of hadrons. Hadron magnetic moments. Hadron masses
January 3, 08 PHY357 Lecture 8 Quark composition of hadrons Hadron magnetic moments Hadron masses January 3, 08 Quark rules for building Hadrons! Three types of stable quark configurations established!
More informationNucleon structure from lattice QCD
Nucleon structure from lattice QCD M. Göckeler, P. Hägler, R. Horsley, Y. Nakamura, D. Pleiter, P.E.L. Rakow, A. Schäfer, G. Schierholz, W. Schroers, H. Stüben, Th. Streuer, J.M. Zanotti QCDSF Collaboration
More informationLecture 9 Valence Quark Model of Hadrons
Lecture 9 Valence Quark Model of Hadrons Isospin symmetry SU(3) flavour symmetry Meson & Baryon states Hadronic wavefunctions Masses and magnetic moments Heavy quark states 1 Isospin Symmetry Strong interactions
More informationarxiv:hep-lat/ v1 9 Oct 2006
Distribution Amplitudes of Pseudoscalar Mesons arxiv:hep-lat/0610055v1 9 Oct 006 V. M. Braun a, M. Göckeler a, R. Horsley b, H. Perlt c, D. Pleiter d, P. E. L. Rakow e, G. Schierholz d f, A. Schiller c,
More informationThis means that n or p form a doublet under isospin transformation. Isospin invariance simply means that. [T i, H s ] = 0
1 QCD 1.1 Quark Model 1. Isospin symmetry In early studies of nuclear reactions, it was found that, to a good approximation, nuclear force is independent of the electromagnetic charge carried by the nucleons
More informationDiscovery of Pions and Kaons in Cosmic Rays in 1947
Discovery of Pions and Kaons in Cosmic Rays in 947 π + µ + e + (cosmic rays) Points to note: de/dx Bragg Peak Low de/dx for fast e + Constant range (~600µm) (i.e. -body decay) small angle scattering Strange
More informationQuark Physics from Lattice QCD
Quark Physics from Lattice QCD K. Szabo published in NIC Symposium 2018 K. Binder, M. Müller, A. Trautmann (Editors) Forschungszentrum Jülich GmbH, John von Neumann Institute for Computing (NIC), Schriften
More informationLight hadrons in 2+1 flavor lattice QCD
Light hadrons..., Lattice seminar, KITP, Jan 26, 2005. U.M. Heller p. 1/42 Light hadrons in 2+1 flavor lattice QCD Urs M. Heller American Physical Society & BNL Modern Challenges for Lattice Field Theory
More informationHyperons and charmed baryons axial charges from lattice QCD. Christos Kallidonis
Hyperons and charmed baryons axial charges from lattice QCD Christos Kallidonis Computation-based Science and Technology Research Center The Cyprus Institute with C. Alexandrou and K. Hadjiyiannakou Electromagnetic
More informationNational Nuclear Physics Summer School Lectures on Effective Field Theory. Brian Tiburzi. RIKEN BNL Research Center
2014 National Nuclear Physics Summer School Lectures on Effective Field Theory I. Removing heavy particles II. Removing large scales III. Describing Goldstone bosons IV. Interacting with Goldstone bosons
More informationQuark Model of Hadrons
Quark Model of Hadrons mesons baryons symmetric antisymmetric mixed symmetry Quark Model of Hadrons 2 Why do quarks have color? ground state baryons orbital wave function = symmetic with L=0 SU(3) f x
More informationThe Development of Particle Physics. Dr. Vitaly Kudryavtsev E45, Tel.:
The Development of Particle Physics Dr. Vitaly Kudryavtsev E45, Tel.: 0114 2224531 v.kudryavtsev@sheffield.ac.uk Previous lecture New unstable particles discovered in 40s-50s. First hyperons (particles
More informationDirac and Pauli form factors from N f = 2 Clover-fermion simulations
Mitglied der Helmholtz-Gemeinschaft Dirac and Pauli form factors from N f = 2 Clover-fermion simulations 20.1011 Dirk Pleiter JSC & University of Regensburg Outline 20.1011 Dirk Pleiter JSC & University
More informationQuantum Field Theory. Ling-Fong Li. (Institute) Quark Model 1 / 14
Quantum Field Theory Ling-Fong Li (Institute) Quark Model 1 / 14 QCD Quark Model Isospin symmetry To a good approximation, nuclear force is independent of the electromagnetic charge carried by the nucleons
More informationQuark Model. Ling-Fong Li. (Institute) Note 8 1 / 26
Quark Model Ling-Fong Li (Institute) Note 8 1 / 6 QCD Quark Model Isospin symmetry To a good approximation, nuclear force is independent of the electric charge carried by the nucleons charge independence.
More informationElectric Dipole Moments and the strong CP problem
Electric Dipole Moments and the strong CP problem We finally understand CP viola3on.. QCD theta term Jordy de Vries, Nikhef, Amsterdam Topical Lectures on electric dipole moments, Dec. 14-16 Introductory
More informationQuark Model History and current status
Quark Model History and current status Manon Bischoff Heavy-Ion Seminar 2013 October 31, 2013 Manon Bischoff Quark Model 1 Outline Introduction Motivation and historical development Group theory and the
More informationIsospin. K.K. Gan L5: Isospin and Parity 1
Isospin Isospin is a continuous symmetry invented by Heisenberg: Explain the observation that the strong interaction does not distinguish between neutron and proton. Example: the mass difference between
More informationThe symmetries of QCD (and consequences)
The symmetries of QCD (and consequences) Sinéad M. Ryan Trinity College Dublin Quantum Universe Symposium, Groningen, March 2018 Understand nature in terms of fundamental building blocks The Rumsfeld
More informationAnother view of the Gell-Mann-Okubo mass formula
3 February 017 Another view of the Gell-Mann-Okubo mass formula Jean Pestieau 1 The Gell-Mann-Okubo mass formula for light hadrons assumes that mass effective operator is in the 8 representation of flavour
More informationRESONANCE at LARGE MOMENTUM TRANSFERS
1 V. M. Braun, M. Göckeler, R. Horsley, T. Kaltenbrunner, A. Lenz, Y. Nakamura, D. Pleiter, P. E. L. Rakow, J. Rohrwild, A. Schäfer, G. Schierholz, H. Stüben, N. Warkentin, J. M. Zanotti µ ELECTROPRODUCTION
More informationIntroduction to Quantum Chromodynamics (QCD)
Introduction to Quantum Chromodynamics (QCD) Jianwei Qiu Theory Center, Jefferson Lab May 29 June 15, 2018 Lecture One The plan for my four lectures q The Goal: To understand the strong interaction dynamics
More informationLOW-ENERGY QCD and STRANGENESS in the NUCLEON
PAVI 09 Bar Harbor, Maine, June 009 LOW-ENERGY QCD and STRANGENESS in the NUCLEON Wolfram Weise Strategies in Low-Energy QCD: Lattice QCD and Chiral Effective Field Theory Scalar Sector: Nucleon Mass and
More informationA tömeg eredete a látható világegyetemben
A tömeg eredete a látható világegyetemben ELTE Elméleti Fizikai Tanszék MTA-ELTE Lendület rácstérelmélet kutatócsoport (Borsányi Szabolcs, Stephan Dürr,Fodor Zoltán, Christian Hoelbling, Stefan Krieg,
More informationQuark Model. Mass and Charge Patterns in Hadrons. Spin-1/2 baryons: Nucleons: n: MeV; p: MeV
Mass and Charge Patterns in Hadrons To tame the particle zoo, patterns in the masses and charges can be found that will help lead to an explanation of the large number of particles in terms of just a few
More informationMass Components of Mesons from Lattice QCD
Mass Components of Mesons from Lattice QCD Ying Chen In collaborating with: Y.-B. Yang, M. Gong, K.-F. Liu, T. Draper, Z. Liu, J.-P. Ma, etc. Peking University, Nov. 28, 2013 Outline I. Motivation II.
More informationOrigin and Status of INSTANTONS
Utrecht University Origin and Status of INSTANTONS Gerard t Hooft, Spinoza Institute. Erice 2013 The pre-qcd age (before 1971) d s u J PC = 0 + K o K + K* o K* + π η π o η π + ρ ω ρ o ϕ ρ + K K o K* J
More informationQuarkonium Results from Fermilab and NRQCD
Quarkonium Results from Fermilab and NRQCD Paul Mackenzie mackenzie@fnal.gov International Workshop on Heavy Quarkonium Fermilab Sept. 20-22 2003 Thanks Christine Davies (HPQCD), Jim Simone Recent progress
More informationBack to Gauge Symmetry. The Standard Model of Par0cle Physics
Back to Gauge Symmetry The Standard Model of Par0cle Physics Laws of physics are phase invariant. Probability: P = ψ ( r,t) 2 = ψ * ( r,t)ψ ( r,t) Unitary scalar transformation: U( r,t) = e iaf ( r,t)
More informationLecture 9. Isospin The quark model
Lecture 9 Isospin The quark model There is one more symmetry that applies to strong interactions. isospin or isotopic spin It was useful in formulation of the quark picture of known particles. We can consider
More informationThe Gauge Principle Contents Quantum Electrodynamics SU(N) Gauge Theory Global Gauge Transformations Local Gauge Transformations Dynamics of Field Ten
Lecture 4 QCD as a Gauge Theory Adnan Bashir, IFM, UMSNH, Mexico August 2013 Hermosillo Sonora The Gauge Principle Contents Quantum Electrodynamics SU(N) Gauge Theory Global Gauge Transformations Local
More informationHow nucleon gets its mass
Fiz-Tech, Dec 05, 2006 How nucleon gets its mass Dmitri Diakonov Petersburg Nuclear Physics Institute 1. Quantum Chromodynamics: the theory of strong interactions 2. Chiral symmetry of strong interactions
More informationBaryon semi-leptonic decay from lattice QCD with domain wall fermions
4th ILFTN Workshop at Hayama, Mar. 8-11, 2006 Baryon semi-leptonic decay from lattice QCD with domain wall fermions Shoichi Sasaki (RBRC/U. of Tokyo) in collabration with Takeshi Yamazaki (RBRC) Baryon
More informationProbing the Chiral Limit in 2+1 flavor Domain Wall Fermion QCD
Probing the Chiral Limit in 2+1 flavor Domain Wall Fermion QCD Meifeng Lin for the RBC and UKQCD Collaborations Department of Physics Columbia University July 29 - August 4, 2007 / Lattice 2007 @ Regensburg
More informationMILC results and the convergence of the chiral expansion
MILC results and the convergence of the chiral expansion MILC Collaboration + (for part) HPQCD, UKQCD Collaborations Benasque Center for Science, July 27, 2004 p.1 Collaborators MILC Collaboration: C.
More informationLocalization properties of the topological charge density and the low lying eigenmodes of overlap fermions
DESY 5-1 HU-EP-5/5 arxiv:hep-lat/591v1 Sep 5 Localization properties of the topological charge density and the low lying eigenmodes of overlap fermions a, Ernst-Michael Ilgenfritz b, Karl Koller c, Gerrit
More informationMesonic and nucleon fluctuation effects at finite baryon density
Mesonic and nucleon fluctuation effects at finite baryon density Research Center for Nuclear Physics Osaka University Workshop on Strangeness and charm in hadrons and dense matter Yukawa Institute for
More informationThe electric dipole moment of the nucleon from lattice QCD with imaginary vacuum angle theta
The electric dipole moment of the nucleon from lattice QCD with imaginary vacuum angle theta Yoshifumi Nakamura(NIC/DESY) for the theta collaboration S. Aoki(RBRC/Tsukuba), R. Horsley(Edinburgh), YN, D.
More informationThe Quark Parton Model
The Quark Parton Model Quark Model Pseudoscalar J P = 0 Mesons Vector J P = 1 Mesons Meson Masses J P = 3 /2 + Baryons J P = ½ + Baryons Resonances Resonance Detection Discovery of the ω meson Dalitz Plots
More informationFlavor Asymmetry of the Nucleon Sea and W-Boson Production*
Flavor Asymmetry of the Nucleon Sea and W-Boson Production* Department of Physics University of Illinois 7 December 2012 *R. Yang, J.C. Peng, M. Grosse-Perdekamp, Phys. Lett. B 680 (2009) 231-234 What
More informationBaryon Resonance Determination using LQCD. Robert Edwards Jefferson Lab. Baryons 2013
Baryon Resonance Determination using LQCD Robert Edwards Jefferson Lab Baryons 2013 Where are the Missing Baryon Resonances? What are collective modes? Is there freezing of degrees of freedom? What is
More informationGian Gopal Particle Attributes Quantum Numbers 1
Particle Attributes Quantum Numbers Intro Lecture Quantum numbers (Quantised Attributes subject to conservation laws and hence related to Symmetries) listed NOT explained. Now we cover Electric Charge
More informationThe Smoothness of Physical Observables. [A different point of view of the Garvey and Kelson Relations for Nuclear Masses]
The Smoothness of Physical Observables http://arxiv.org/abs/0905.2129 [A different point of view of the Garvey and Kelson Relations for Nuclear Masses] J. Piekarewicz M. Centelles X. Viñas X. Roca-Maza
More informationCharmed Bottom Mesons from Lattice QCD
Charmed Bottom Mesons from Lattice QCD Nilmani Mathur Department of Theoretical Physics Tata Institute of Fundamental Research, India Collaborators : ILGTI, M. Padmanath, R. Lewis Lattice 2016, University
More informationNotes on SU(3) and the Quark Model
Notes on SU() and the Quark Model Contents. SU() and the Quark Model. Raising and Lowering Operators: The Weight Diagram 4.. Triangular Weight Diagrams (I) 6.. Triangular Weight Diagrams (II) 8.. Hexagonal
More informationDevelopment of a hadronic model: general considerations. Francesco Giacosa
Development of a hadronic model: general considerations Objectives Development of a chirallysymmetric model for mesons and baryons including (axial-)vector d.o.f. Extended Linear Sigma Model (elsm) Study
More informationPUBLISHED VERSION.
PUBLISHED VERSION Bietenholz, W.; Cundy, N.; Göckeler, Meinulf; Horsley, Roger; Perlt, Holger; Pleiter, Dirk; Rakow, Paul E. L.; Schierholz, Gerrit; Schiller, Arwed; Streuer, Thomas; Zanotti, James Michael
More informationThe Λ(1405) is an anti-kaon nucleon molecule. Jonathan Hall, Waseem Kamleh, Derek Leinweber, Ben Menadue, Ben Owen, Tony Thomas, Ross Young
The Λ(1405) is an anti-kaon nucleon molecule Jonathan Hall, Waseem Kamleh, Derek Leinweber, Ben Menadue, Ben Owen, Tony Thomas, Ross Young The Λ(1405) The Λ(1405) is the lowest-lying odd-parity state of
More informationFlavour physics Lecture 1
Flavour physics Lecture 1 Jim Libby (IITM) XI th SERC school on EHEP NISER Bhubaneswar November 2017 Lecture 1 1 Outline What is flavour physics? Some theory and history CKM matrix Lecture 1 2 What is
More informationAnomalies and discrete chiral symmetries
Anomalies and discrete chiral symmetries Michael Creutz BNL & U. Mainz Three sources of chiral symmetry breaking in QCD spontaneous breaking ψψ 0 explains lightness of pions implicit breaking of U(1) by
More informationThe Gell-Mann Okubo Mass Relation among Baryons from Fully-Dynamical, Mixed-Action Lattice QCD
NT@UW-06-08 JLAB-xxxx UNH-06-02 The Gell-Mann Okubo Mass Relation among Baryons from Fully-Dynamical, Mixed-Action Lattice QCD Silas R. Beane, 1, 2 Kostas Orginos, 3, 2 and Martin J. Savage 4 (NPLQCD Collaboration)
More informationThe Λ(1405) is an anti-kaon nucleon molecule. Jonathan Hall, Waseem Kamleh, Derek Leinweber, Ben Menadue, Ben Owen, Tony Thomas, Ross Young
The Λ(1405) is an anti-kaon nucleon molecule Jonathan Hall, Waseem Kamleh, Derek Leinweber, Ben Menadue, Ben Owen, Tony Thomas, Ross Young The Λ(1405) The Λ(1405) is the lowest-lying odd-parity state of
More informationLecture 8. CPT theorem and CP violation
Lecture 8 CPT theorem and CP violation We have seen that although both charge conjugation and parity are violated in weak interactions, the combination of the two CP turns left-handed antimuon onto right-handed
More informationHigh t form factors & Compton Scattering - quark based models. Gerald A. Miller University of Washington
High t form factors & Compton Scattering - quark based models Gerald A. Miller University of Washington Basic Philosophy- model wave function Ψ Given compute form factors, densities, Compton scattering...
More informationThe Gell-Mann Okubo Mass Relation among Baryons from Fully-Dynamical Mixed-Action Lattice QCD
NT@UW-06-08 JLAB-THY-06-484 UNH-06-02 arxiv:hep-lat/0604013v1 16 Apr 2006 The Gell-Mann Okubo Mass Relation among Baryons from Fully-Dynamical Mixed-Action Lattice QCD Silas R. Beane, 1,2 Kostas Orginos,
More informationQCD in the light quark (up & down) sector (QCD-light) has two mass scales M(GeV)
QCD in the light quark (up & down) sector (QCD-light) has two mass scales M(GeV) 1 m N m ρ Λ QCD 0 m π m u,d In a generic physical system, there are often many scales involved. However, for a specific
More informationNucleons from 5D Skyrmions
Nucleons from 5D Skyrmions Giuliano Panico Physikalisches Institut der Universität Bonn Planck 2009 26 May 2009 Based on G. P. and A. Wulzer 0811.2211 [hep-ph] and A. Pomarol and A. Wulzer 0807.0316 [hep-ph]
More informationSpeculations on extensions of symmetry and interctions to GUT energies Lecture 16
Speculations on extensions of symmetry and interctions to GUT energies Lecture 16 1 Introduction The use of symmetry, as has previously shown, provides insight to extensions of present physics into physics
More informationQCD Vacuum, Centre Vortices and Flux Tubes
QCD Vacuum, Centre Vortices and Flux Tubes Derek Leinweber Centre for the Subatomic Structure of Matter and Department of Physics University of Adelaide QCD Vacuum, Centre Vortices and Flux Tubes p.1/50
More informationStatus of scalar quark matrix elements from Lattice QCD. André Walker-Loud
Status of scalar quark matrix elements from Lattice QCD André Walker-Loud Outline Nucleon matrix element calculations Direct method - 3 point function Indirect method - Feynman-Hellman Theorem Scalar Matrix
More informationQCD in an external magnetic field
QCD in an external magnetic field Gunnar Bali Universität Regensburg TIFR Mumbai, 20.2.12 Contents Lattice QCD The QCD phase structure QCD in U(1) magnetic fields The B-T phase diagram Summary and Outlook
More informationOrigin of Nucleon Mass in Lattice QCD
Origin of Nucleon Mass in Lattice QCD Quark and glue components of hadron mass Decomposition of meson masses πn σ term, strangeness and charmness Decomposition of nucleon mass c QCD Collaboration Trento,
More informationA.A. Godizov. Institute for High Energy Physics, Protvino, Russia
arxiv:1410.886v1 [hep-ph] 0 Oct 2014 QCD and nuclear physics. How to explain the coincidence between the radius of the strong interaction of nucleons and the characteristic scale of neutron-neutron electrostatic
More informationPartners of the SU(3) hadrons
Partners of the SU(3) hadrons Bernard Riley 1 The hadrons of the SU(3) J P = 0 -, ½ + and 1 - multiplets are shown to have partners of the same spin or of spin difference ½. Partnerships occur between
More informationHadron Structure from Lattice QCD
Hadron Structure from Lattice QCD Huey-Wen Lin University of Washington 1 Outline Lattice QCD Overview Nucleon Structure PDF, form factors, GPDs Hyperons Axial coupling constants, charge radii... Summary
More informationProblem Set # 1 SOLUTIONS
Wissink P640 Subatomic Physics I Fall 2007 Problem Set # 1 S 1. Iso-Confused! In lecture we discussed the family of π-mesons, which have spin J = 0 and isospin I = 1, i.e., they form the isospin triplet
More informationStructure of Hadrons. gluons. gluons
gluons Gluons are the exchange particles which couple to the color charge. They carry simultaneously color and anticolor. What is the total number of gluons? According to SU 3, 3x3 color combinations form
More informationCritical lines and points. in the. QCD phase diagram
Critical lines and points in the QCD phase diagram Understanding the phase diagram Phase diagram for m s > m u,d quark-gluon plasma deconfinement quark matter : superfluid B spontaneously broken nuclear
More informationin Lattice QCD Abstract
FERMILAB-PUB-96/016-T January, 1996 Electromagnetic Splittings and Light Quark Masses arxiv:hep-lat/9602005v1 6 Feb 1996 in Lattice QCD A. Duncan 1, E. Eichten 2 and H. Thacker 3 1 Dept. of Physics and
More informationQCD matter with isospin-asymmetry. Gergely Endrődi. Goethe University of Frankfurt in collaboration with Bastian Brandt, Sebastian Schmalzbauer
QCD matter with isospin-asymmetry Gergely Endrődi Goethe University of Frankfurt in collaboration with Bastian Brandt, Sebastian Schmalzbauer SIGN 2017 22. March 2017 Outline introduction: QCD with isospin
More informationINTRODUCTION TO THE STANDARD MODEL OF PARTICLE PHYSICS
INTRODUCTION TO THE STANDARD MODEL OF PARTICLE PHYSICS Class Mechanics My office (for now): Dantziger B Room 121 My Phone: x85200 Office hours: Call ahead, or better yet, email... Even better than office
More informationCascades on the Lattice
Cascade Physics - Jlab 2005 Cascades on the Lattice Kostas Orginos College of William and Mary - JLab LHP Collaboration LHPC collaborators R. Edwards (Jlab) G. Fleming (Yale) P. Hagler (Vrije Universiteit)
More informationDr Victoria Martin, Prof Steve Playfer Spring Semester 2013
Particle Physics Dr Victoria Martin, Prof Steve Playfer Spring Semester 2013 Lecture 12: Mesons and Baryons Mesons and baryons Strong isospin and strong hypercharge SU(3) flavour symmetry Heavy quark states
More informationQCD and Instantons: 12 Years Later. Thomas Schaefer North Carolina State
QCD and Instantons: 12 Years Later Thomas Schaefer North Carolina State 1 ESQGP: A man ahead of his time 2 Instanton Liquid: Pre-History 1975 (Polyakov): The instanton solution r 2 2 E + B A a µ(x) = 2
More informationElectroweak Theory: 2
Electroweak Theory: 2 Introduction QED The Fermi theory The standard model Precision tests CP violation; K and B systems Higgs physics Prospectus STIAS (January, 2011) Paul Langacker (IAS) 31 References
More informationChiral and angular momentum content of rho and rho mesons from dynamical lattice calculations
Chiral and angular momentum content of rho and rho mesons from dynamical lattice calculations L. Ya. Glozman Institut für Physik, FB Theoretische Physik, Universität Graz With Christian Lang and Markus
More informationBaryonic Spectral Functions at Finite Temperature
Baryonic Spectral Functions at Finite Temperature Masayuki Asakawa Department of Physics, Osaka University July 2008 @ XQCD 2008 QCD Phase Diagram T LHC 160-190 MeV 100MeV ~ 10 12 K RHIC crossover CEP(critical
More informationGell-Mann - Oakes - Renner relation in a magnetic field at finite temperature.
Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature. N.O. Agasian and I.A. Shushpanov Institute of Theoretical and Experimental Physics 117218 Moscow, Russia Abstract In the first
More informationPseudoscalar Flavor-Singlet Physics with Staggered Fermions p.1/23
Pseudoscalar Flavor-Singlet Physics with Staggered Fermions Eric B. Gregory, Alan Irving, Craig McNeile, Steven Miller, Zbyszek Sroczynski egregory@amtp.liv.ac.uk University of Liverpool UK Q C D collaboration
More informationLecture 6 Isospin. What is Isospin? Rota4ons in Isospin space Reac4on rates Quarks and Isospin Gell- Mann- Nishijima formula FK
Lecture 6 Isospin What is Isospin? Rota4ons in Isospin space Reac4on rates Quarks and Isospin Gell- Mann- Nishijima formula FK7003 08 SU() Isospin Isospin introduced based on the observa4on that: m p =
More informationLecture 2: The First Second origin of neutrons and protons
Lecture 2: The First Second origin of neutrons and protons Hot Big Bang Expanding and cooling Soup of free particles + anti-particles Symmetry breaking Soup of free quarks Quarks confined into neutrons
More informationQCD Phases with Functional Methods
QCD Phases with Mario PhD-Advisors: Bernd-Jochen Schaefer Reinhard Alkofer Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Rab, September 2010 QCD Phases with Table of
More informationMesonic and nucleon fluctuation effects in nuclear medium
Mesonic and nucleon fluctuation effects in nuclear medium Research Center for Nuclear Physics Osaka University Workshop of Recent Developments in QCD and Quantum Field Theories National Taiwan University,
More informationThe scalar meson puzzle from a linear sigma model perspective
Montpellier, December 009 The scalar meson puzzle from a linear sigma model perspective Renata Jora (Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona) Collaborators: Amir Fariborz(SUNY
More informationWhen Perturbation Theory Fails...
When Perturbation Theory Fails... Brian Tiburzi (University of Maryland) When Perturbation Theory Fails... SU(3) chiral perturbation theory? Charm quark in HQET, NRQCD? Extrapolations of lattice QCD data?
More informationQCD in the δ-regime. Journal of Physics: Conference Series. Related content. Recent citations
Journal of Physics: Conference Series QCD in the δ-regime To cite this article: W Bietenholz et al 20 J. Phys.: Conf. Ser. 287 0206 View the article online for updates and enhancements. Related content
More informationLattice QCD From Nucleon Mass to Nuclear Mass
At the heart of most visible m Lattice QCD From Nucleon Mass to Nuclear Mass Martin J Savage The Proton Mass: At the Heart of Most Visible Matter, Temple University, Philadelphia, March 28-29 (2016) 1
More informationSuperfluidity and Symmetry Breaking. An Unfinished Symphony
Superfluidity and Symmetry Breaking An Unfinished Symphony The Classics The simplest model for superfluidity involves a complex scalar field that supports a phase (U(1)) symmetry in its fundamental equations,
More informationarxiv:hep-ph/ v3 15 Mar 2006
The [56,4 + ] baryons in the 1/N c expansion N. Matagne and Fl. Stancu University of Liège, Institute of Physics B5, Sart Tilman, B-4000 Liège 1, Belgium (Dated: February, 008) arxiv:hep-ph/040961v 15
More informationPoS(CD12)117. Precision Measurement of η γγ Decay Width via the Primakoff Effect. Liping Gan
Precision Measurement of via the Primakoff Effect University of North Carolina Wilmington, NC, USA E-mail: ganl@uncw.edu A precision measurement of the η γγ decay width via the Primakoff effect is underway
More informationUnquenched spectroscopy with dynamical up, down and strange quarks
Unquenched spectroscopy with dynamical up, down and strange quarks CP-PACS and JLQCD Collaborations Tomomi Ishikawa Center for Computational Sciences, Univ. of Tsukuba tomomi@ccs.tsukuba.ac.jp 4th ILFTN
More informationHadronic Weak Interactions
1 / 44 Hadronic Weak Interactions Matthias R. Schindler Fundamental Neutron Physics Summer School 2015 Some slides courtesy of N. Fomin 2 / 44 Weak interactions - One of fundamental interactions - Component
More informationAxions. Kerstin Helfrich. Seminar on Theoretical Particle Physics, / 31
1 / 31 Axions Kerstin Helfrich Seminar on Theoretical Particle Physics, 06.07.06 2 / 31 Structure 1 Introduction 2 Repetition: Instantons Formulae The θ-vacuum 3 The U(1) and the strong CP problem The
More informationarxiv:hep-ph/ v2 23 Dec 1997
Chiral perturbation theory analysis of the baryon magnetic moments revisited Loyal Durand and Phuoc Ha Department of Physics, University of Wisconsin-Madison, 1150 University Avenue, Madison, WI 53706
More informationarxiv:hep-ph/ v2 25 Mar 1995
Proton Spin in Chiral Quark Models H. J. Weber, X. Song Institute of Nuclear and Particle Physics, University of Virginia, Charlottesville, VA 901, USA arxiv:hep-ph/970166v 5 Mar 1995 and M. Kirchbach
More information