|
|
|
|
References: |
|
|
|
M.E. Peskin and D.V. Schroeder |
An Introduction
to QFT - Part II |
|
|
S. Weinberg |
The Quantum
Theory of Fields |
|
|
S. Pokorski |
Gauge Field
Theory |
|
|
L. H. Ryder |
QFT |
|
|
C. Itzykson and J. B. Zuber |
QFT |
|
See also: |
D.I. Kazakov |
Radiative corrections,
arXiv:0901.2208 |
|
|
|
|
Contents: |
|
|
|
Part I:
Quantum Electrodynamics; Regularization and Renormalization |
|
|
Feynman Rules |
|
|
Radiative Corrections; Perturbative Series |
|
|
Power Counting; Dimensional Regularization |
|
|
One-Loop Renormalization |
|
|
One-Loop beta-Function; Asymptotic Behavior |
|
|
Two-Loop Calculation; An Example |
|
|
Electromagnetic Form Factor; Anomalous Magnetic Moment |
|
|
Callan-Symanzik Renormalization Group Equation |
|
|
Special Topic: Composite Operator Renormalization and
Operator Mixing |
|
|
Special Topic: Spectral Function; Kaellen-Lehmann
Representation |
|
|
Part II:
Path Integral Quantization; Functional Methods |
|
|
Path-Integral in QM and QFT |
|
|
Path-Integral Quantization and Feynman Rules for Bosons and
Fermions |
|
|
Generating Functional for Free Fields |
|
|
Generating Functional for Interacting Fields |
|
|
Generating Functional for Connected Diagrams |
|
|
Generating Functional for One Particle Irreducible (1PI)
Diagrams |
|
|
Ward-Takahashi Identities in QED |
|
|
Functional Determinant |
|
|
Part III:
Non-Abelian Gauge Theory |
|
|
Mathematical Tools: Lie Groups |
|
|
Yang-Mills Action and Non-Abelian Gauge Invariance |
|
|
Gauge Fixing and DeWitt-Faddeev-Popov Ghosts |
|
|
One-loop Radiative Corrections and beta-Function |
|
|
BRST-Symmetry |
|
|
Slavnov-Taylor Identities |
|
|
QCD beta-Function (perturbative method) |
|
|
QCD beta-function (background field formalism) |
|
|
One-loop Effective action of linear sigma model and its
renormalization |
|
|
Spontaneous Symmetry Breaking (Goldstone Mechanism +
Classical Proof of Goldstone Theorem) |
