Scharf Gunter. Quantum Gauge Theories: A True Ghost Story

John Wiley & Sons, 2001. — 258 p.Free fields
Bosonic scalar fields
Fermionic scalar (ghost) fields
Massless vector fields
Operator gauge transformations
Massive vector fields
Fermionic vector (ghost) fields
Tensor fields
Spinor fields
Normally ordered products in free fields
Problems
Causal perturbation theory
The S-matrix in quantum mechanics
The method of Epstein and Glaser
Splitting of causal distributions in x-space
Splitting in momentum space
Calculation of tree graphs
Calculation of loop graphs
Normalizability
Problems
Spin-1 gauge theories: massless gauge fields
Perturbative gauge invariance
Self-coupling of gauge fields
Divergence and coboundary couplings
Yang-Mills theory to second order
Reductive Lie algebras
Coupling to matter fields
Gauge invariance to all orders
Unitarity
Other gauges
Gauge independence
Appendix A: Cauchy problem for the iterated wave equation
Problems
Spin-1 gauge theories: massive gauge fields
Massive QED and Abelian Higgs model
General massive gauge theory
First-order gauge invariance
Second-order gauge invariance
Third-order gauge invariance
Derivation of the electroweak gauge theory
Coupling to leptons
More fermionic families
Gauge invariance to third order: axial anomalies
Problems
Spin-2 gauge theory
Perturbative gauge invariance with tensor fields
The general spin-2 theory
First-order gauge invariance
Classification of spin-2-quantum gauge theories
Expansion of the Einstein-Hilbert Lagrangian
Q-vertex
Second-order gauge invariance: graviton sector
Second-order gauge invariance: ghost sector
Coupling to matter
Radiative corrections
Appendix B: Divergence couplings for gravity
Appendix C: General Q-vertexfor quantum gravity
Problems