Effective Average Action in N=1 Super-Yang-Mills Theory

TL;DR

This paper extends the effective average action framework to N=1 Super-Yang-Mills theory using superspace formalism, deriving an exact evolution equation and reproducing the one-loop beta-function.

Contribution

It introduces a manifestly supersymmetric formulation of the effective average action for N=1 SYM and derives the exact evolution equation.

Findings

Derived the exact evolution equation for Gamma_k in N=1 SYM.

Reproduced the standard one-loop beta-function using a simple truncation.

Established a supersymmetric extension of the effective average action formalism.

Abstract

For N=1 Super-Yang-Mills theory we generalize the effective average action Gamma_k in a manifest supersymmetric way using the superspace formalism. The exact evolution equation for Gamma_k is derived and, introducing as an application a simple truncation, the standard one-loop beta-function of N=1 SYM theory is obtained.