REMOVAL OF VIOLATIONS OF THE MASTER WARD IDENTITY IN PERTURBATIVE QFT-Reference-Cited by-同舟云学术

REMOVAL OF VIOLATIONS OF THE MASTER WARD IDENTITY IN PERTURBATIVE QFT

Published:2008-03 Issue:02 Volume:20 Page:119-172
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BRENNECKE FERDINAND¹,DÜTSCH MICHAEL²³

Affiliation:

1. Institut für Quantenelektronik, ETH Zürich, CH-8093 Zürich, Switzerland

2. Institut für Theoretische Physik, Universität Zürich, CH-8057 Zürich, Switzerland

3. Max Planck Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany

Abstract

We study the appearance of anomalies of the Master Ward Identity, which is a universal renormalization condition in perturbative QFT. The main insight of the present paper is that any violation of the Master Ward Identity can be expressed as a local interacting field; this is a version of the well-known Quantum Action Principle of Lowenstein and Lam. Proceeding in a proper field formalism by induction on the order in ħ, this knowledge about the structure of possible anomalies as well as techniques of algebraic renormalization are used to remove possible anomalies by finite renormalizations. As an example, the method is applied to prove the Ward identities of the O(N) scalar field model.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X08003237

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