Quantum Field Theory II Content
Quantum Field Theory II Content (Preliminary)
1. Functional Integrals
Bosonic path integrals. Correlation functions and Feynman diagrams. LSZ reduction formula. Gell-Mann Low. Generating functional. Quantum effective action. Symmetries of the effective action. Spontaneous symmetry breaking.
Loop diagrams. Regularization. Renormalizable and non-renormalizable theories.
3. Effective field theories
Wilson's renormalization group. Lattice field theory. Gell-Mann Low renormalization. Low energy effective actions.
4. Spinors and Fermions
Representations of the Lorentz group. Weyl and Dirac spinors. Fermionic path integrals. Fermion processes.
5. Gauge Theories
Lie groups and algebras. Gauge transformations. Quantization of non-Abelian gauge theories. BRST symmetry. Ward identities. Asymptotic freedom. The Higgs mechanism. General relativity as a gauge theory.
6. Chirality and Anomalies
Conformal anomalies. Chiral symmetry breaking. Pion decay. Chiral anomalies. Gravitational anomalies
7. Non-perturbative effects
Homotopy groups. Solitons. Instantons. The theta vacuum.
Web page last updated August 18, 2008 by CAP.