Geometrical effective action and Wilsonian flows

TL;DR

This paper introduces a gauge invariant flow equation using a Wilsonian cut-off within the Vilkovisky-DeWitt framework, providing a new approach to gauge theories with implications for consistent truncations and gauge fixing.

Contribution

It develops a novel gauge invariant flow equation based on the geometrical effective action, enhancing the understanding of gauge theories in the Wilsonian framework.

Findings

Derived a gauge invariant flow equation using a Wilsonian cut-off.

Established modified Nielsen identities constraining truncations.

Discussed relations to gauge fixed formulations and potential applications.

Abstract

A gauge invariant flow equation is derived by applying a Wilsonian momentum cut-off to gauge invariant field variables. The construction makes use of the geometrical effective action for gauge theories in the Vilkovisky-DeWitt framework. The approach leads to modified Nielsen identities that pose non-trivial constraints on consistent truncations. We also evaluate the relation of the present approach to gauge fixed formulations as well as discussing possible applications.