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.
Gauge field theory
-
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
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.
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.
Lectures, exercises, seminars, homework, consultations
Seminar project
Oral exam
Grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL)
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.
