Gauge independent effective gauge fields

TL;DR

This paper develops a gauge-independent framework for defining effective gauge fields in quantum gauge theories, proving gauge independence of the effective action in the low-energy limit using Slavnov identities.

Contribution

It introduces a method to define effective gauge fields that are independent of gauge choice, based on Slavnov identities in renormalizable theories.

Findings

Gauge independence of the effective device action in the low-energy limit

Derivation of Slavnov identities for interacting quantum and classical fields

Establishment of a gauge-independent notion of effective gauge fields

Abstract

The problem of gauge independent definition of the effective gauge field is considered. The Slavnov identities corresponding to a system of interacting quantum gauge and classical matter fields, playing the role of a measuring device, are obtained. With their help, in the case of power-counting renormalizable theories, gauge independence of the effective device action is proved in the low-energy limit, which allows to introduce the gauge independent notion of the effective gauge field.