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

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.

26 pages, 12 figures

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Cited by in corpus (9)

• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Lattice studies of supersymmetric gauge theories
• Chiral symmetry breaking and confinement: separating the scales
• Monte-Carlo simulations of overlap Majorana fermions
• Exploring gauge theories with adjoint matter on the lattice
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Exact D7-brane embedding in the Pilch-Warner background