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Last update: doc. Mgr. Milan Krtička, Ph.D. (29.04.2019)
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Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)
Ústní zkouška |
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Last update: T_UCJF (19.03.2015)
L. D. Faddeev, A.A. Slavnov, Gauge fileds, Introduction to quantum theory, Adisson-Wesley Publishing Company, 1991 S. Weinberg, The quantum theory of fields II, Cambridge University Press, 1996 K. Huang, Quarks, leptons and gauge fields, World Scientific 1982 C. Itzykcon, J.-B. Zuber, Quantum field theory, McGraw-Hill 1980 M. Heneaux, C. Teitelboim, Quantization of gauge systems, Princeton University Press, 1991 |
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Last update: RNDr. Jiří Novotný, CSc. (13.10.2017)
Zkouška bude ústní, požadavky odpovídají odpřednášené části sylabu, ev. doplněné o část zadanou k samostatnému nastudování. |
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Last update: T_UTF (15.05.2012)
Electromagnetic fields, U(1) gauge transformations. Yang-Mills fields, non-abelian gauge group, parallel transport, covariant derivative, intensity tensor, Wilson loop. Invariant Lagrangians, scalar and spinor fields. 2. Classical solutions Equations of motion, Bianchi identities. Hamilton formalism, Gauss law. Classical solutions in Minkowski regime, (non)existence of soliton solutions. Classical solutions in the Euclidean regime, instantons. 3. Quantization of gauge fields Hamiltonian systems with constraints, Dirac quantization. Functional integral, gauge fixation, Faddeev-Popov ghosts, Feynman rules. BRST symmetry. Batalin-Vilkovisky method. 4. Renormalization of gauge theories UV divergences, regularization, renormalization. Renormalizability of gauge theories, anomalies. Renormalization group, asymptotic freedom. 5. Spontaneous gauge symmetry breaking Spontaneous global symmetry breaking, Goldstone theorem. Spontaneous local symmetry breaking, Higgs mechanism. Dynamical gauge symmetry breaking. 6. Gauge theories in particle physics Quantum chromodynamics. The Standard Model of electroweak interactions. Grand unification theory. |