Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature

TL;DR

This study uses lattice Monte Carlo simulations to explore the phase diagram of N=1 supersymmetric Yang-Mills theory at finite temperature, revealing insights into deconfinement and chiral symmetry restoration.

Contribution

First lattice Monte Carlo investigation of the finite temperature phase structure of N=1 SYM, providing new insights into its deconfinement and chiral symmetry behavior.

Findings

Deconfinement temperature shows mild dependence on fermion mass.

Chiral symmetry may be restored near the deconfinement transition.

Results are comparable to QCD phenomena.

Abstract

Supersymmetry (SUSY) has been proposed to be a central concept for the physics beyond the standard model and for a description of the strong interactions in the context of the AdS/CFT correspondence. A deeper understanding of these developments requires the knowledge of the properties of supersymmetric models at finite temperatures. We present a Monte Carlo investigation of the finite temperature phase diagram of the N=1 supersymmetric Yang-Mills theory (SYM) regularised on a space-time lattice. The model is in many aspects similar to QCD: quark confinement and fermion condensation occur in the low temperature regime of both theories. A comparison to QCD is therefore possible. The simulations show that for N=1 SYM the deconfinement temperature has a mild dependence on the fermion mass. The analysis of the chiral condensate susceptibility supports the possibility that chiral symmetry is restored near the deconfinement phase transition.