Exact renormalization group equation in presence of rescaling anomaly II - The local potential approximation

TL;DR

This paper applies the exact renormalization group in the local potential approximation to supersymmetric Yang-Mills theory, reproducing known one-loop results and discussing potential non-perturbative effects like instantons.

Contribution

It demonstrates how the local potential approximation captures the one-loop effective action in a mass-deformed N=4 SYM theory, providing a basis for exploring non-perturbative effects.

Findings

Reproduces one-loop effective action at the dynamical cutoff

Shows the applicability of the local potential approximation to supersymmetric theories

Discusses potential inclusion of instanton effects

Abstract

Exact renormalization group techniques are applied to mass deformed N=4 supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The solution of the flow equation, in the local potential approximation, reproduces the one-loop (perturbatively exact) expression for the effective action of N=2 supersymmetric Yang-Mills theory, when the regularising mass, M, reaches the value of the dynamical cutoff. One speculates about the way in which further non-perturbative contributions (instanton effects) may be accounted for.