Applications of Noncovariant Gauges in the Algebraic Renormalization Procedure

This volume is a natural continuation of the book Algebraic Renormalization, Perturbative Renormalization, Symmetries and Anomalies, by O Piguet and S P Sorella, with the aim of applying the algebraic renormalization procedure to gauge field models quantized in nonstandard gauges. The main ingredient of the algebraic renormalization program is the quantum action principle, which allows one to control in a unique manner the breaking of a symmetry induced by a noninvariant subtraction scheme. In particular, the volume studies in-depth the following quantized gauge field models: QED, Yang–Mills theories and topological models (the Chern–Simons and the BF model) in the context of axial-like gauges. Contents:Basics of Perturbative Quantum Field TheoryPole Prescriptions, Covariant and Noncovariant CasesQuantum Electrodynamics (QED)Noncovariant Gauges in Pure Yang–Mills TheoryTopological Field Models Quantized in the Axial GaugeChern–Simons Theory on Manifolds with Boundary Readership: Students and researchers in quantum field theory and high energy physicists. Keywords:Action Principle;Algebraic Renormalization;Anomaly;Antighost Equation;Antighost Field;Axial Gauge;Axial-Like Gauges;Becchi-Rouet-Stora (Doublet, Invariance, Extended, Symmetry);BF Model;BPHZ Subtraction Scheme;Chern-Simons Theory;Consistency Condition;Faddeev-Popov Ghosts;Field Renormalization;Gauge Condition;Gauge Theory;Ghost Equation;Ghost Field;Infrared Problem;Interpolating Gauge;Laibbrandt-Mandelstam (LM) Prescription;Pole Prescription;Power-Counting Renormalizable;Regularization;Renormalization;Ultraviolet Dimension;Ultraviolet Divergence;Ultraviolet Finiteness;Ward Identity;Ward Operator;Wess-Zumino Consistency Condition;Yang-Mills Field;Yang-Mills Ghost;Yang-Mills Self-Energy;Yang-Mills Theory