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Quantum Field Theory II

Jan Martin Pawlowski, summer term 2010

Script

	1 Functional integral approach
	1.1 Path integral in quantum mechanics
	1.2 Functional integral for scalar fields
	1.3 Feynman rules
	1.4 Effective action & spontaneous symmetry breaking
	2 Functional integral for fermions
	2.1 Quantum mechanics
	2.2 Quantum field theory
	3 Functional methods*
	3.1 Effective action
	3.2 Functional relations
	4 Non-Abelian gauge theories
	4.1 Action & gauge invariance
	4.2 Generating functional
	4.3 BRST-symmetry & unitarity
	4.4 Quantum master equation*
	Appendix A One-dimensional example, Gribov & Neuberger problem*
	5 QCD
	5.1 Renormalisation
	5.2 Running coupling
	6 Lattice gauge theory
	6.1 Scalar fields on the lattice
	6.2 Non-Abelian gauge fields on the lattice
	6.3 The Wegner-Wilson loop & the static quark--anti-quark potential
	6.4 The continuum limit of lattice Yang-Mills theory
	6.5 Fermions on the lattice
	7 Renormalisation group
	7.1 Wilson's renormalisation group
	7.2 Fixed points
	7.3 Callan-Symanzik equation
	8 Symmetry breaking in QFT
	8.1 Spontaneous symmetry breaking
	8.2 Anomalies