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Quantum Field Theory II
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Script
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