Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition

Abstract

Fermion boundary conditions play a relevant role in revealing the confinement mechanism of N=1 supersymmetric Yang-Mills theory with one compactified space-time dimension. A deconfinement phase transition occurs for a sufficiently small compactification radius, equivalent to a high temperature in the thermal theory where antiperiodic fermion boundary conditions are applied. Periodic fermion boundary conditions, on the other hand, are related to the Witten index and confinement is expected to persist independently of the length of the compactified dimension. We study this aspect with lattice Monte Carlo simulations for different values of the fermion mass parameter that breaks supersymmetry softly. We find a deconfined region that shrinks when the fermion mass is lowered. Deconfinement takes place between two confined regions at large and small compactification radii, that would correspond to low and high temperatures in the thermal theory. At the smallest fermion masses we find no indication of a deconfinement transition. These results are a first signal for the predicted continuity in the compactification of supersymmetric Yang-Mills theory.

17 pages, 9 Figures

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Cited by in corpus (7)

• QCD on a small circle
• Lattice studies of supersymmetric gauge theories
• Lattice simulations of a gauge theory with mixed adjoint-fundamental matter
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Monte-Carlo simulations of overlap Majorana fermions
• Exploring gauge theories with adjoint matter on the lattice
• First studies of the phase diagram of N=1 supersymmetric Yang-Mills theory