Vorlesungsnotizen/Lecture Notes:

       Quantenfeldtheorie II/Quantum Field Theory II

       Prof. Michael G. Schmidt

Allgemeines

Inhalt/Contents

XI. Path Integrals: as Alternative Formulation of QFT
1. Path integrals in Quantum Mechanics
2. Path integrals for QFT
3. Path integral formulation for Fermions

XII. Feynman-loop-diagram Integrals; Regularization and Renormalization
1. Feynman rules for (real scalar) phi^4 theory
2. Calculation of a concrete Feynman-graph
3. Calculation of Feynman-graphs (more general)
4. Regularization and Renormalization in a simple case
5. Regularization (more general)

XIII. Effective Action, Spontaneous Symmetry Breaking
1. Effective action
2. Computation of the effective action/effective potential
3. Ward identities, Goldstone bosons
4. Remark on perturbation theory

XIV. Gauge Theories: QED, QCD, QFT
1. Classical gauge covariant field equations
2. Quantization of singular systems
3. Path integral for gauge theories, gauge fixing
4. The Fadeev-Popov (B. de Witt, Feynman) procedure
5. The (gluon) propagator in Lorentz (covariant) gauge, Feynman rules
6. BRST - Symmetry
7. Perturbative expansion in non abelien gauge theory, - especially QCD
8. One loop graphs (1PI)
9. One loop QED

XV. Renormalization Group, Wilson Renormalization
1. Asymptotic relation of amplitudes, Weinberg Theorem
2. Callan-Szimanzik equation
3. Renormalization 'group' equations
4. Solutions of RG equations
5. Wilson renormalization group
6. Renormalization group flow for the effective action
7. Lattice gauge theory

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Edited: July 20, 2003 by Z. Tavartkiladze