A Conformal Fixed-Point Equation for the Effective Average Action

TL;DR

This paper introduces a new conformal fixed-point equation derived from a Legendre transform, which captures full conformal invariance in the effective average action framework.

Contribution

It presents a novel unintegrated conformal fixed-point equation based on a Legendre transform, advancing the understanding of conformal invariance in quantum field theory.

Findings

Derivation of a Legendre-transformed conformal fixed-point equation

The equation encodes full conformal invariance within the effective average action framework

Provides a new tool for analyzing conformal fixed points in quantum field theories

Abstract

A Legendre transform of the recently discovered conformal fixed-point equation is constructed, providing an unintegrated equation encoding full conformal invariance within the framework of the effective average action.