Functional renormalization group flows of $\mathcal{N}=1$ supersymmetric abelian gauge model with one chiral and one vector superfield

TL;DR

This paper uses the functional renormalization group to analyze a simple $ ext{N}=1$ supersymmetric gauge model, confirming the nonrenormalization theorem and exploring fixed points and beta functions.

Contribution

It applies the functional renormalization group method to a supersymmetric gauge model, demonstrating the theorem's validity and analyzing its fixed points.

Findings

Nonrenormalization theorem holds at leading order

Beta functions are derived for the model

Fixed point behavior is studied

Abstract

We apply the functional renormalization group approach to a $\mathcal{N}=1$ supersymmetric gauge model with one chiral superfield coupled to a vector $U(1)$ superfield. We find that the nonrenormalization theorem still works at leading order in the supercovariant derivative expansion of the fields. We also find the beta functions and we study the behavior of its fixed points in the local potential approximation. Regulators are also discussed.