First studies of the phase diagram of N=1 supersymmetric Yang-Mills theory

TL;DR

This paper investigates the phase diagram of N=1 supersymmetric Yang-Mills theory at finite temperatures using lattice simulations, exploring deconfinement and chiral symmetry restoration transitions.

Contribution

First lattice study of the finite-temperature phase diagram of N=1 supersymmetric Yang-Mills theory, analyzing the relationship between deconfinement and chiral symmetry restoration.

Findings

Initial evidence of phase transitions at finite temperature

Insights into the relationship between deconfinement and chiral symmetry restoration

Lattice results suggest possible coincidence or separation of phase transitions

Abstract

The behavior of supersymmetric theories at finite temperatures differs from that of other theories in certain aspects. Due to the different thermal statistics of bosons and fermions, supersymmetry is explicitly broken for any non-zero value of the temperature. We study N=1 supersymmetric Yang-Mills theory on the lattice at finite temperatures. This model is the simplest supersymmetric extension of the pure gauge sector of QCD, describing the interactions between gluons and their fermionic superpartners, the gluinos. At zero temperature the theory confines like QCD, and chiral symmetry is spontaneously broken. At high temperatures, deconfinement and chiral symmetry restoration are expected to take place, but it is not known whether these two phase transitions coincide or not. First results on this topic, obtained in numerical simulations on the lattice, will be presented and discussed.