The Price of an Exact, Gauge-Invariant RG-Flow Equation
V. Branchina, K.A. Meissner, G. Veneziano
TL;DR
This paper develops a new exact, gauge-invariant renormalization group flow equation by integrating the Vilkovisky-De Witt approach, addressing reparametrization invariance in quantum field theory.
Contribution
It introduces a novel RG flow equation that is both exact and gauge-invariant, utilizing the Vilkovisky-De Witt formalism for reparametrization invariance.
Findings
The new RG equation is explicitly gauge-invariant.
The action and flow depend on a chosen base point in field space.
Discussion of challenges due to base point dependence.
Abstract
We combine old ideas about exact renormalization-group-flow (RGF) equations with the Vilkovisky-De Witt (VDW) approach to reparametrization invariant effective actions and arrive at a new, exact, gauge-invariant RGF equation. The price to be paid for such a result is that both the action and the RGF equation depend explicitly upon the base point (in field space) needed for the VDW construction. We briefly discuss the complications originating from this fact and possible ways to overcome them.
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