The Quantum Action Principle in the framework of Causal Perturbation Theory

Abstract

In perturbative quantum field theory the maintenance of classical symmetries is quite often investigated by means of algebraic renormalization, which is based on the Quantum Action Principle. We formulate and prove this principle in a new framework, in causal perturbation theory with localized interactions. Throughout this work a universal formulation of symmetries is used: the Master Ward Identity.

20 pages. Contribution to the Conference on 'Recent Developments in Quantum Field Theory' held from July 20 to July 22, 2007 at the Max Planck Institute for Mathematics in the Sciences, Leipzig/Germany

References in corpus (6)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Conservation of the stress tensor in perturbative interacting quantum field theory in curved spacetimes
• Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity
• The Master Ward Identity and Generalized Schwinger-Dyson Equation in Classical Field Theory
• Removal of violations of the Master Ward Identity in perturbative QFT
• The Wess Zumino consistency condition: a paradigm in renormalized perturbation theory

Cited by in corpus (5)

• Removal of violations of the Master Ward Identity in perturbative QFT
• All orders renormalizability of a Lorentz and CPT violating quantum electrodynamics
• Gauge Invariance and Finite Counterterms in Chiral Gauge Theories
• No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences
• Symanzik-Becchi-Rouet-Stora lessons on renormalizable models with broken symmetry: the case of Lorentz violation