University at Buffalo 3 credits Physics
Review of classical field theory; discrete and continuous symmetries, conservation laws, and Noether’s theorem; canonical quantization of the free Klein-Gordon, Dirac, and electromagnetic fields; path integral quantization; interacting fields andcovariant perturbation theory; Feynman diagrams; ultraviolet and infrared divergences, regularization, and renormalization; vacuum expectation values and the S-matrix; special topics selected from the renormalization group and asymptotic behavior, solitons, spontaneous symmetry breaking, nonabelian gauge fields, lattice gauge theory, and quantum gravity; global and local symmetries and modern gauge theory of elementary particles and their interactions; the standard SU(3)xSU(2)xU(1) model of particle physics, families of quarks and leptons; electroweak unification and the Higgs mechanism; quantum chromodynamics, asymptotic freedom, and quark confinement.
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