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Course: Standard model

Department/Abbreviation: SLO/PGS8S

Year: 2021

Guarantee: 'prof. Jan Řídký, DrSc.'

Annotation: Students are assumed to master the topics described in the content of the subject.

Course review:
The goal of the lectures is to present students current theory of electroweak interactions and the Higgs mechanism, of physics at the LHC, and the theory of strong interactions at the deepest level, i.e. as as a non-Abelian calibration filed theory with the new degree of freedem called color. From historical perspectives to the additive quark model to the deep inelastic scattering, structure of the proton, hadron collisions towards the concept of parton distribution functions and elementary calculations. Quark confinement and asymptotic freedom, runnning coupling constant. 1. The beta decay of the muon and neutron, pion decay to leptons, parity violation. 2. Weak interactions of leptons and quarks, Cabbibo angle, CKM matrix, neutrino interactions. 3. Standard model as an non-Abelian calibration field theory, unification of the electroweak interactions, Weinberg-Salam-Glashow model, selfinteraction of vector bosons. 4. Higgs potential, spontaneous symmetry breaking. 5. Higgs mechanism for the generation of vector boson masses and of leptons. 6. Physics processes at past, current and future accelerators. 7. Evidence for physics beyong the Standard Model. 8. Strong interactions, Rutherford scattering. 9. Group theory, representations, Lie group and algebras, generators, structure constants. 10. SU(2) and SU(3) groups, isospin, Gell-Mann matrices 11. Non-relativistic constituent quark model, quarks as dynamic of the SU(3) group, confinement, evidence for the color degree of freedom. 12. Parton model, Drell-Yan production of dilepton pairs. 13. Basics of the quantum chromodynamics, QCD Lagrangian, non-Abelian calibration invariance, Feynman rules for QCD, color matrices, basic calculations in parturbative QCD at the tree level, gluon self-interactions. 14. Mass singularities and jets, Kinoshita-Lee-Nauenberg theorem, jets, running coupling constant, asymptotic freedom. 15. QCD and parton model, parton branching functions, factorisation of paralel singularities, dressed parton distribution functions, evolution equations.