English

Background independence and the Adler-Bardeen theorem

High Energy Physics - Theory 2024-04-16 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We prove that for renormalizable Yang-Mills gauge theory with arbitrary compact gauge group (of at most a single abelian factor) and matter coupling, the absence of gauge anomalies can be established at the one-loop level. This proceeds by relating the gauge anomaly to perturbative agreement, which formalizes background independence.

Keywords

Cite

@article{arxiv.2209.02393,
  title  = {Background independence and the Adler-Bardeen theorem},
  author = {Jochen Zahn},
  journal= {arXiv preprint arXiv:2209.02393},
  year   = {2024}
}

Comments

v2: final version

R2 v1 2026-06-28T00:47:34.695Z