The Phase Diagram for Wess-Zumino Models

TL;DR

This paper uses nonperturbative functional renormalization group methods to analyze the phase diagram and fixed-point structure of the two-dimensional $ ext{N}=1$ Wess-Zumino model, shedding light on dynamical supersymmetry breaking.

Contribution

It provides the first detailed phase diagram and fixed-point analysis of the 2D $ ext{N}=1$ Wess-Zumino model using supersymmetry-preserving RG techniques.

Findings

Identified a rich fixed-point structure with critical exponents.

Mapped the phase diagram indicating regions of broken and unbroken supersymmetry.

Demonstrated the effectiveness of functional RG in supersymmetric models.

Abstract

Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore they offer a promising tool to investigate dynamical supersymmetry breaking. Here we will employ this method to derive the phase diagram and a surprisingly rich RG fixed-point structure with corresponding critical exponents for the $\mathcal N=1$ Wess-Zumino model in two dimensions.