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Quantum field theory

2019/2020
Programme:
Physics, Second Cycle
Orientation:
Condensed matter physics
Year:
1. year
Semester:
first
Kind:
optional
ECTS:
5
Language:
slovenian
Course director:
Lecturer (contact person):
Hours per week – 1. semester:
Lectures
2
Seminar
1
Tutorial
0
Lab
0
Prerequisites

Enrollment into the program.
Positive result from qoloqia (or written exam) is necessary to enter the oral exam.

Content (Syllabus outline)

Quantization: (nonrelativistic) pointlike particle, relativistic particle;

Free scalar field: Klein-Gordon equation, clasic field, conservation of charge, momentum and angular momentum, canonic quatisation;

Free spinor field: Dirac equation, clasic field,
conservation of charge, momentum and angular momentum, canonic quatisation;

Free electromagnetic field: Maxwell Equations in covariant form, clasic gauge field, quantisation, Coulomb gauge, Loretz gauge;

Interaction in field theory: action, (local
U(1), SU(2), SU(3)) gauge transformations, asymptotic states and perturbation theory (general approach); interaction picture, S-matrix and Feynman's diagrams;

Lowest orders of Quanum electrodynamics:
Cross section, Compton's scsattering, bremsstrahlung, infrared divergences;

Radiative corrections: regularization, photon self energy, electron self energy, renormalization, vertex regularisation and outside legs renormalisation;
Anomalous magnetic moments.

Readings
  • 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 and competences

Objectives:

Student gets familiar with the properties of free quantum fields, their interactions and symetry properties.
Competences:
Knowledge and understanding of basic principles of quantum field theory, quantisation approaches, principlesof gauge interactions .

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 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.

Learning and teaching methods

Lectures, exercises, seminars, homework, consultations

Assessment

2 midterm exams instead or final written exam
Oral exam
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

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.