Anomaly-Free Gauge Models: A Causal Approach
High Energy Physics - Theory
2018-04-24 v1 Mathematical Physics
math.MP
Abstract
The gauge invariance of some massless Yang-Mills models can be proved for a large class of groups using Polchinski flow equations approach. In this paper we provide an alternative proof based on the causal approach. The proof is purely algebraic and is based on the analysis of the anomalies. More precisely, one can prove that the anomalies are verifying some consistency equations of Wess-Zumino type. In the massless SU(2) Yang-Mills case, this is enough to prove that they are absent. The same is true for QED.
Cite
@article{arxiv.1804.08276,
title = {Anomaly-Free Gauge Models: A Causal Approach},
author = {D. R. Grigore},
journal= {arXiv preprint arXiv:1804.08276},
year = {2018}
}
Comments
29 pages, Contribution to the conference "Quantum Fields and Nonlinear Phenomena" 18-22 April 2018, Sinaia, Romania