UČNI NAČRT PREDMETA / COURSE SYLLABUS Predmet: Course title: Teorija umeritvenih polj Gauge field theory Študijski program in stopnja Study programme and level Študijska smer Study field Letnik Academ ic year Semester Semester Univerzitetni študijski program 2.stopnje Fizika Second cycle academic study program Physics Fizika 1 drugi Physics 1 second Vrsta predmeta / Course type Izbirni predmet Univerzitetna koda predmeta / University course code:??? Predavanj a Lectures Seminar Seminar Vaje Tutorial Klinične vaje work Druge oblike študija Samost. delo Individ. work 30 15 105 5 ECTS Nosilec predmeta / Lecturer: Prof. Svjetlana Fajfer Jeziki / Languages: Predavanja / Lectures: Slovensko/Slovene Vaje / Tutorial: Slovensko/Slovene Pogoji za vključitev v delo oz. za opravljanje študijskih obveznosti: Prerequisits:! 1
Vpis v letnik študija. Opravljena kolokvija iz vaj ali pisni izpit so pogoj za pristop k ustnemu izpitu. Enrollment into the program. Positive result from qoloqia (or written exam) is necessary to enter the oral exam. Vsebina: Funkcionalne metode (integral po poti, funkcionalna kvantizacija fundamentalnih polj, simetrije v funkcionalnem formalizmu); Sistematika renormalizacije (ultraviolicne divergence, renormalizacija kvantne elektrodinamike; renormalizacija v visjih redih perturbacije); Renormalizacijska grupa (enacba Callan- Symanzika, izracun renormalizacijskih koeficientov beta in gamma funkcije, razvoj sklopitvenih konstant, renormalizacija lokalnih operatorjev, evolucija masnih parametrov); Kvantizacija neabelskih umeritvenih teorij (lagrangian Fadeev-Popova, duhovi in unitarnost, simetrija BRST, divergence v priblizku ene zanke v neabelskih umeritvenih teorijah; asimptotska svoboda); Operatorski produkti in efektivne sklopitve (renormalizacija masnih parametrov kvarkov, QCD renormalizacija sibkih interakcij, razvoj v operatorsko vsoto); Anomalije v perturbacijski teoriji (trikotni diagrami, kiralne anomalije in kiralne umeritvene teorije); Kvantizacija spontano zlomljenih umeritvenih teorij (umeritve Rxi, ekvivalencni teorem Goldstonovih bozonov, popravki v priblizku ene zanke v umeritveni teoriji sibkih interakcij); Ideje velikega poenotenja Elementi supersimetrije. Pregled teorij onkraj standardnega modela. Content (Syllabus outline): Functional methods (along the path integral, functional quantization of fundamental fields, symmetries in the functional formalism); Systematics renormalization (ultraviolet divergence, renormalization of quantum electrodynamics; renormalization in higher order of perturbation theory ); Renormalization group (equation Callan- Symanzika, calculation of renormalization coefficients, beta and gamma functions, running of coupling constants, renormalization of local operators, the evolution of mass parameters); Quantization nnonabelian gauge theories (Fadeev-Popov lagrangian, Ghosts and unitarnost, BRST symmetry, divergence in one loop approximation in neabelskihgauge theories; asymptotic freedom); Operator product expansion and effective coupling (renormalization quark mass parameters, QCD renormalization interactions incorporates development in operatorsko sum); Anomalies in perturbation theory (triangular diagrams, chiral anomalies and chiral gauge theory); Quantization of spontaneously broken gauge theories (choice of gauges, Rxi, equivalence theorem of Goldstone bosons, corrections in the approximation of one loop of the weak gauge theory); Ideas of Grand Unified theories, Elements of supersymmetry. Overview of theories beyond the Standard Model. Temeljni literatura in viri / Readings:! 2
- Claude Itzykson, Jean-Bernard Zuber: QuantumField Theory McGraw-Hill, New York (1987) - M. Peskin, D. Schroeder: An introduction to quantum field theory, Addison-Wesley publishing company, New York (1995)- Elementary Particles and Their Interactions, Concepts and Phenomena Cilji in kompetence: Cilji: Študent spozna osnove neabelskih umeritvenih teorij. Kompetence: Predmetno specifične kompetence: poznavanje in razumevanje načel umeritvene teorije,. Objectives and competences: Objectives: Student gets familiar with the properties of nonabelian gaugetheories, their interactions and symetry properties. Competences: Knowledge and understanding of basic principles of f gauge theories. Predvideni študijski rezultati: Znanje in razumevanje Pridobitev znanja na področjiu teoretičnih osnov fizike osnovnih delcev, teorije gravitacije in kozmologije. Uporaba S pridobljenim znanjem študent lahko pristopi vsem naprednim teoretičnim nalogam iz fizike osnovnhih delcev in teorije gravitacije. Refleksija Kritično ovrednotenje teoretičnih postopkov z uporabo relativistične teorije in kvane fizike. Prenosljive spretnosti - niso vezane le na en predmet Sposobnost konstrukcije teoretčnih modelov in analize fizikalnih problemov v teoriji delcev. Intended learning outcomes: Knowledge and understanding: Knowledge of basic tyheoretical tools in elementary particle physics, theory of geravity and comology. Application: The achieved knowledge enables student to solve all advanced theoretical problems within field pelementary particle theory or theory of gravity. Reflection: Critical evalvation of all theoretical approaches within relativistic and quantum physics. Transferable skills: Ability to construct theoretical models and analyze physical problems in theoretical high energy physics.! 3
Metode poučevanja in učenja: Predavanja, vaje, seminar, individualne naloge, konzultacije Learning and teaching methods: Lectures, exercises, seminars, homework, consultations Načini ocenjevanja: Seminarsko delo Ustni izpit ocene: 1-5 (negativno), 6-10 (pozitivno) (po Statutu UL) Delež (v %) / Weight (in %) 50% 50% Assessment: Seminar project Oral exam Grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL) Reference nosilca / Lecturer's references:! 4
prof. Dr. Svjetlana Fajfer 1. Svjetlana Fajfer, Jernej F. Kamenik, Ivan Nisandzic, Jure Zupan Implications of Lepton Flavor Universality Violations in B Decays, Phys.Rev.Lett. 109 (2012) 161801. 2. Ilja Doršner, Svjetlana Fajfer, Nejc Košnik, Ivan Nišandžić Minimally flavored colored scalar in bar B ->D (*) tau bar nu and the mass matrices constraints, JHEP 1311 (2013) 084. 3. Ilja Dorsner, Svjetlana Fajfer, Admir Greljo, Jernej F. Kamenik Higgs Uncovering Light Scalar Remnants of High Scale Matter Unification, JHEP 1211 (2012) 130. 4. Jure Drobnak, Svjetlana Fajfer, Jernej F. Kamenik Probing anomalous twb interactions with rare B decays, Nucl.Phys. B855 (2012) 82-99. 5. Ilja Dorsner, Svjetlana Fajfer, Jernej F. Kamenik, Nejc Kosnik Light colored scalars from grand unification and the forward-backward asymmetry in t t-bar production, Phys.Rev. D81 (2010) 055009.! 5