Quark Number Susceptibilities & The Wróblewski Parameter
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1 Quark Number Susceptibilities & The Wróblewski Parameter Rajiv V. Gavai T. I. F. R., Mumbai, India In collaboration with Sourendu Gupta, TIFR, Mumbai Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 1
2 Quark Number Susceptibilities & The Wróblewski Parameter Rajiv V. Gavai T. I. F. R., Mumbai, India Introduction Quark Number Susceptibility The Wróblewski Parameter Summary In collaboration with Sourendu Gupta, TIFR, Mumbai Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 1
3 Introduction Enhancement of strangeness production as a promising signal of QGP (Rafelski-Müller, Phys. Rev. Lett 82, Phys. Rept 86..). Most signal considerations based on Simple Models. T QGP > m strange Energy Threshold for (s s) in QGP < in Hadron Gas. Production rate : σ QGP (s s) > σ HG (s s). A variety of aspects studied and many different variations proposed. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 2
4 Introduction Enhancement of strangeness production as a promising signal of QGP (Rafelski-Müller, Phys. Rev. Lett 82, Phys. Rept 86..). Most signal considerations based on Simple Models. T QGP > m strange Energy Threshold for (s s) in QGP < in Hadron Gas. Production rate : σ QGP (s s) > σ HG (s s). A variety of aspects studied and many different variations proposed. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 2
5 Introduction Enhancement of strangeness production as a promising signal of QGP (Rafelski-Müller, Phys. Rev. Lett 82, Phys. Rept 86..). Most signal considerations based on Simple Models. T QGP > m strange Energy Threshold for (s s) in QGP < in Hadron Gas. Production rate : σ QGP (s s) > σ HG (s s). A variety of aspects studied and many different variations proposed. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 2
6 Introduction Enhancement of strangeness production as a promising signal of QGP (Rafelski-Müller, Phys. Rev. Lett 82, Phys. Rept 86..). Most signal considerations based on Simple Models. T QGP > m strange Energy Threshold for (s s) in QGP < in Hadron Gas. Production rate : σ QGP (s s) > σ HG (s s). A variety of aspects studied and many different variations proposed. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 2
7 Introduction Enhancement of strangeness production as a promising signal of QGP (Rafelski-Müller, Phys. Rev. Lett 82, Phys. Rept 86..). Most signal considerations based on Simple Models. T QGP > m strange Energy Threshold for (s s) in QGP < in Hadron Gas. Production rate : σ QGP (s s) > σ HG (s s). A variety of aspects studied and many different variations proposed. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 2
8 Ratio of newly created strange quarks to light quarks : λ s = 2 s s uū + d d (1) Figure from Becattini et al., Statistical Thermal Model fit, Phys. Rev. C 64, (2001). Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 3
9 Quark Number Susceptibility Assuming three flavours, u, d, and s quarks, and denoting by µ f the corresponding chemical potentials, the QCD partition function is Z = DU exp( S G ) f=u,d,s Det M(m f,µ f ). (2) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 4
10 Quark Number Susceptibility Assuming three flavours, u, d, and s quarks, and denoting by µ f the corresponding chemical potentials, the QCD partition function is Z = DU exp( S G ) f=u,d,s Det M(m f,µ f ). (2) Defining µ 0 = µ u + µ d + µ s and µ 3 = µ u µ d, baryon and isospin density/susceptibilities can be obtained as : (Gottlieb et al. 87, 96, 97, Gavai et al. 89) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 4
11 Quark Number Susceptibility Assuming three flavours, u, d, and s quarks, and denoting by µ f the corresponding chemical potentials, the QCD partition function is Z = DU exp( S G ) f=u,d,s Det M(m f,µ f ). (2) Defining µ 0 = µ u + µ d + µ s and µ 3 = µ u µ d, baryon and isospin density/susceptibilities can be obtained as : (Gottlieb et al. 87, 96, 97, Gavai et al. 89) n i = T V ln Z µ i, χ ij = T V 2 ln Z µ i µ j, i, j = 0, 3, u, d, s Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 4
12 Higher order susceptibilities are defined by χ fg = T V n log Z µ f µ g = n P µ f µ g. (3) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 5
13 Higher order susceptibilities are defined by χ fg = T V n log Z µ f µ g = n P µ f µ g. (3) These are Taylor coefficients of the pressure P in its expansion in µ. All of these can be written as traces of products of M 1 and various derivatives of M. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 5
14 Higher order susceptibilities are defined by χ fg = T V n log Z µ f µ g = n P µ f µ g. (3) These are Taylor coefficients of the pressure P in its expansion in µ. All of these can be written as traces of products of M 1 and various derivatives of M. Setting µ i = 0, n i =0 but the diagonal χ ii s are nontrivial : χ 0 = T 2V [ O 2(m u ) O 11(m u ) ] (4) χ 3 = T 2V O 2(m u ) (5) χ s = T 4V [ O 2(m s ) O 11(m s ) ] (6) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 5
15 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
16 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. We have argued that (Gavai & Gupta, PR D 02 ) λ s = 2χ s χ u + χ d. (7) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
17 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. We have argued that (Gavai & Gupta, PR D 02 ) λ s = 2χ s χ u + χ d. (7) Quark Number Susceptibilities also crucial for other QGP Signatures : Q, B Fluctuations Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
18 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. We have argued that (Gavai & Gupta, PR D 02 ) λ s = 2χ s χ u + χ d. (7) Quark Number Susceptibilities also crucial for other QGP Signatures : Q, B Fluctuations Finite Density Results by Taylor Expansion in µ Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
19 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. We have argued that (Gavai & Gupta, PR D 02 ) λ s = 2χ s χ u + χ d. (7) Quark Number Susceptibilities also crucial for other QGP Signatures : Q, B Fluctuations Finite Density Results by Taylor Expansion in µ Theoretical Checks : Resummed Perturbation expansions, Dimensional Reduction.. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
20 Here O 2 = Tr Mu 1 M u Tr Mu 1 M um u 1 M u, and O 11 (m u ) = (Tr Mu 1 M u) 2, and the traces are estimated by a stochastic method: Tr A = N v i=1 R i AR i/2n v, and (Tr A) 2 = 2 L i>j=1 (Tr A) i(tr A) j /L(L 1), where R i is a complex vector from a set of N v subdivided in L independent sets. We have argued that (Gavai & Gupta, PR D 02 ) λ s = 2χ s χ u + χ d. (7) Quark Number Susceptibilities also crucial for other QGP Signatures : Q, B Fluctuations Finite Density Results by Taylor Expansion in µ Theoretical Checks : Resummed Perturbation expansions, Dimensional Reduction.. Our improvement: Fixed m q /T c, Continuum limit... Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 6
21 Comparing Full and Quenched QCD Gavai & Gupta PR D 01; Gavai, Gupta & Majumdar, PR D Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 7
22 Comparing Full and Quenched QCD Gavai & Gupta PR D 01; Gavai, Gupta & Majumdar, PR D χ /χ 3 FFT m v x 4 Lattice N = 2; m /T = 0.1 f s c N = 0; Quenched f T/Tc Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 7
23 Comparing Full and Quenched QCD Gavai & Gupta PR D 01; Gavai, Gupta & Majumdar, PR D χ /χ 3 FFT m v x 4 Lattice N = 2; m /T = 0.1 f s c N = 0; Quenched f Note : 1) χ F F T Ideal gas results for same Lattice T/Tc Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 7
24 Comparing Full and Quenched QCD Gavai & Gupta PR D 01; Gavai, Gupta & Majumdar, PR D m v 0.1 Note : 1) χ F F T Ideal gas results for same Lattice. χ /χ 3 FFT x 4 Lattice N = 2; m /T = 0.1 f s c N = 0; Quenched f 2) Unquenching effects small, although T c changed from 270 MeV to 170 MeV T/Tc Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 7
25 Comparing Full and Quenched QCD Gavai & Gupta PR D 01; Gavai, Gupta & Majumdar, PR D χ /χ 3 FFT m v x 4 Lattice N = 2; m /T = 0.1 f s c N = 0; Quenched f T/Tc Note : 1) χ F F T Ideal gas results for same Lattice. 2) Unquenching effects small, although T c changed from 270 MeV to 170 MeV 3) PDG values for strange quark mass = m strange v /T c (N f =0); (N f =2). Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 7
26 Perturbation Theory Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 8
27 Perturbation Theory Weak coupling expansion gives: ( ) χ α χ = 1 2 s F F T π + 8 ( ( N f ) (Toimela 1985; Kapusta 1989). )3 α 2 ( s π 6 ) 2 α s π log 1 4πα s + O(αs) 2 Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 8
28 Perturbation Theory Weak coupling expansion gives: ( ) χ α χ = 1 2 s F F T π + 8 ( ( N f ) (Toimela 1985; Kapusta 1989). )3 α 2 ( s π 6 ) 2 α s π log 1 4πα s + O(αs) χ/χ FFT T c 1.5T c 3T c 1.5T c 0.85 LO Plasmon Nf=0 Plasmon Nf=2 Plasmon Nf= α s /π Minm (0.986) at 0.03 (0.02) for N f = 0 (2). For 1.5 T/T c 3 pert. theory (1.08=1.03) for N f = 0 (2). Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 8
29 Resummed Perturbation Theory Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 9
30 Resummed Perturbation Theory Hard Thermal Loop & Self-consistent resummation give : (Blaizot, Iancu & Rebhan, PLB 01; Chakraborty, Mustafa & Thoma, EPJC 02). Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 9
31 Resummed Perturbation Theory Hard Thermal Loop & Self-consistent resummation give : (Blaizot, Iancu & Rebhan, PLB 01; Chakraborty, Mustafa & Thoma, EPJC 02). Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 9
32 Resummed Perturbation Theory Hard Thermal Loop & Self-consistent resummation give : (Blaizot, Iancu & Rebhan, PLB 01; Chakraborty, Mustafa & Thoma, EPJC 02). Our results for N t = 4 Lattice artifacts? Check for larger N t and improved actions. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 9
33 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
34 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Investigate larger N t : 6, 8, 10, 12 and 14. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
35 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Investigate larger N t : 6, 8, 10, 12 and 14. Naik action : Improved by O(a) compared to Staggered. Introduction of µ nontrivial but straightforward. (Naik, NP B 1989; Gavai, NP B 03) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
36 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Investigate larger N t : 6, 8, 10, 12 and 14. Naik action : Improved by O(a) compared to Staggered. Introduction of µ nontrivial but straightforward. (Naik, NP B 1989; Gavai, NP B 03) Results at 2T c : /T 2 χ /N 2 t Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
37 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Investigate larger N t : 6, 8, 10, 12 and 14. Naik action : Improved by O(a) compared to Staggered. Introduction of µ nontrivial but straightforward. (Naik, NP B 1989; Gavai, NP B 03) Results at 2T c : 1.8 /T 2 χ Same results within errors for both fermions /N 2 t Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
38 Taking Continuum Limit (Gavai & Gupta, PR D 02 and PR D 03) Investigate larger N t : 6, 8, 10, 12 and 14. Naik action : Improved by O(a) compared to Staggered. Introduction of µ nontrivial but straightforward. (Naik, NP B 1989; Gavai, NP B 03) Results at 2T c : 1.8 /T 2 χ Same results within errors for both fermions. Milder a 2 -dependence for Naik fermions /N 2 t Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 10
39 The continuum susceptibility vs. T therefore is : Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 11
40 The continuum susceptibility vs. T therefore is : 1.0 NL 0.9 HTL χ 3 /Τ T/T c Naik action (Squares) and Staggered action (circles) Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 11
41 The continuum susceptibility vs. T therefore is : 1.0 NL 0.9 HTL χ 3 /Τ T/T c Naik action (Squares) and Staggered action (circles) Also reproduced in dimensional reduction (1 free parameter). Vuorinen, PR D 03. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 11
42 Wróblewski Parameter Fluctuation-Dissipation Theorem Production of Strange quark-antiquark pair imaginary part of generalized strange quark susceptibility. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 12
43 Wróblewski Parameter Fluctuation-Dissipation Theorem Production of Strange quark-antiquark pair imaginary part of generalized strange quark susceptibility. Kramers - Krönig relation can be used to relate it to the real part of the susceptibility, which we obtain from lattice QCD simulations. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 12
44 Wróblewski Parameter Fluctuation-Dissipation Theorem Production of Strange quark-antiquark pair imaginary part of generalized strange quark susceptibility. Kramers - Krönig relation can be used to relate it to the real part of the susceptibility, which we obtain from lattice QCD simulations. Finally, make a relaxation time approximation (ωτ 1) ratio of real parts is the same as the ratio of imaginary parts. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 12
45 Wróblewski Parameter Fluctuation-Dissipation Theorem Production of Strange quark-antiquark pair imaginary part of generalized strange quark susceptibility. Kramers - Krönig relation can be used to relate it to the real part of the susceptibility, which we obtain from lattice QCD simulations. Finally, make a relaxation time approximation (ωτ 1) ratio of real parts is the same as the ratio of imaginary parts. Using our continuum QNS, ratio χ s /χ u can be obtained. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 12
46 We use m/t c = 0.03 for u, d and m/t c = 1 for s quark; At each T, ratio of χ s λ s (T ). Extrapolate it to T c. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 13
47 We use m/t c = 0.03 for u, d and m/t c = 1 for s quark; At each T, ratio of χ s λ s (T ). Extrapolate it to T c. AGS Si-Au Quenched QCD (T ) c RHIC Au-Au SpS S-S SpS S-Ag SpS Pb-Pb AGS Au-Au λs Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 13
48 Caveats Quenched approximation Expect a shift of 5-10 % in full QCD. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 14
49 Caveats Quenched approximation Expect a shift of 5-10 % in full QCD. Extrapolation to T c Straightforward but better to do it for full QCD Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 14
50 Caveats Quenched approximation Expect a shift of 5-10 % in full QCD. Extrapolation to T c Straightforward but better to do it for full QCD. Results for 2-flavour QCD (Gavai & Gupta work in progress): Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 14
51 Caveats Quenched approximation Expect a shift of 5-10 % in full QCD. Extrapolation to T c Straightforward but better to do it for full QCD. Results for 2-flavour QCD (Gavai & Gupta work in progress): 0.48 Nt=4, 2 flavour QCD, mu/tc=0.1, ms/tc= λ s T/Tc Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 14
52 Caveats Quenched approximation Expect a shift of 5-10 % in full QCD. Extrapolation to T c Straightforward but better to do it for full QCD. Results for 2-flavour QCD (Gavai & Gupta work in progress): λ s 0.48 Nt=4, 2 flavour QCD, mu/tc=0.1, ms/tc= T/Tc Large finite volume effects below T c Up to 12 3 Lattices used. Being extended to 24 3 Lattices. Strong dependence on m s expected. Large finite a effects. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 14
53 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
54 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it.. Theoretically, Screening mass- Susceptibility correlation and µ-dependence results of QCD-TARO on screening masses too suggest such an insensitivity. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
55 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it.. Theoretically, Screening mass- Susceptibility correlation and µ-dependence results of QCD-TARO on screening masses too suggest such an insensitivity. Needs to be checked explicitly. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
56 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it.. Theoretically, Screening mass- Susceptibility correlation and µ-dependence results of QCD-TARO on screening masses too suggest such an insensitivity. Needs to be checked explicitly. Assumed : characteristic time scale of plasma are far from the energy scales of strange or light quark production. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
57 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it.. Theoretically, Screening mass- Susceptibility correlation and µ-dependence results of QCD-TARO on screening masses too suggest such an insensitivity. Needs to be checked explicitly. Assumed : characteristic time scale of plasma are far from the energy scales of strange or light quark production. Observation of spikes in photon production may falsify this. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
58 At SPS and RHIC, µ B 0 ; But observed λ s is insensitive to it.. Theoretically, Screening mass- Susceptibility correlation and µ-dependence results of QCD-TARO on screening masses too suggest such an insensitivity. Needs to be checked explicitly. Assumed : characteristic time scale of plasma are far from the energy scales of strange or light quark production. Observation of spikes in photon production may falsify this. Assumed : Chemical equilibration in the plasma. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 15
59 Summary m u /T c = 0.1 m s /T c = λs N f=2, N t= T/T c Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 16
60 Summary m u /T c = 0.1 m s /T c = λs N f=2, N t=4 Quenched T/T c Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 17
61 Summary m u /T c = 0.1 m s /T c = λs N f=2, N t=4 Quenched N f=2, N t= T/T c Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 18
62 Summary m u /T c = 0.1 m s /T c = λs 0.4 RHIC & SPS 0.2 N f=2, N t=4 Quenched N f=2, N t= T/T c Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 19
63 Summary Quark number susceptibilities RHIC signal physics. They offer an independent check on resummed perturbation theory which seems to do well. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 20
64 Summary Quark number susceptibilities RHIC signal physics. They offer an independent check on resummed perturbation theory which seems to do well. Continuum limit of χ uu yields λ s in agreement with RHIC and SPS results after extrapolation to T c. First full QCD investigations show interesting trend. Higher susceptibilities up to 8th order computed. Interesting results on the QCD phase diagram soon. Hard Probes 2004, Ericeira, Portugal, November 9, 2004 R. V. Gavai Top 20
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