# Background independence and the Adler-Bardeen theorem

September 06, 2022

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:

Anomalies, Gauge theory