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Abstract
The course discusses modern techniques and applications of relativistic quantum field theory with an emphasis on path integral quantisation of non-abelian gauge theories and spontaneous breaking of symmetries.
Objective
Command of the quantisation of non-abelian gauge theories and the breaking of symmetries therein. Understanding of the basic structures and techniques required for the theoretical study of the Standard Model of Particle Physics.
Content
topics include: - path integral quantisation (generating functionals) - non-abelian Lie groups - non-abelian gauge theories and their quantisation (Yang-Mills theory, BRST symmetry) - systematics of renormalisation (Callan-Symanzik equation) - symmetries in quantum field theory (Ward-Takahashi and Slavnov-Taylor identities, anomalies) - spontaneous symmetry breaking (Goldstone theorem, Higgs mechanism)
Resources
Literature
M.E. Peskin and D.V. Schroeder, “An introduction to Quantum Field Theory”, Westview Press (1995) C. Itzykson, J.-B. Zuber, “Quantum Field Theory”, McGraw-Hill (1980) P. Ramond, “Field Theory: A Modern Primer” (2nd Edition), Westview Press (1990) M. Srendnicki, “Quantum Field Theory”, Cambridge University Press (2007)