Equivalent Fixed-Points in the Effective Average Action Formalism

TL;DR

This paper derives a new expression linking equivalent fixed-points in the effective average action formalism, expanding understanding of critical fixed-points in quantum field theory.

Contribution

It introduces the first explicit expression for the line of equivalent fixed-points in the effective average action formalism, based on a modified Polchinski's equation.

Findings

Derived Morris' fixed-point equation from a modified Polchinski's equation

Established the first expression for equivalent fixed-points in the effective average action formalism

Connected fixed-point structures to critical phenomena in quantum field theory

Abstract

Starting from a modified version of Polchinski's equation, Morris' fixed-point equation for the effective average action is derived. Since an expression for the line of equivalent fixed-points associated with every critical fixed-point is known in the former case, this link allows us to find, for the first time, the analogous expression in the latter case.