Invariant Path-Integral Quantization and Anomaly Cancellation

TL;DR

This paper introduces an invariant path-integral quantization method for gauge theories that automatically cancels anomalies, unifying various physical contexts and enabling lattice implementations.

Contribution

It develops a novel invariant quantization framework using the Dressing Field Method that ensures anomaly cancellation across different gauge theories.

Findings

Automatic anomaly cancellation mechanism implemented.

Framework unifies invariant schemes from electroweak theory to cosmology.

Suitable for lattice implementations in high-precision tests.

Abstract

We present an invariant relational path-integral quantization framework for general-relativistic gauge field theories based on the Dressing Field Method. The construction implements an automatic anomaly-cancellation mechanism that encompasses Bardeen-Wess-Zumino counterterms. The resulting framework unifies invariant schemes across contexts ranging from electroweak theory to cosmology, and is amenable to lattice implementations, key to high-precision tests in both domains.