Adjoint quarks and fermionic boundary conditions

Abstract

We study quenched SU(2) lattice gauge theory with adjoint fermions in a wide range of temperatures. We focus on spectral quantities of the Dirac operator and use the temporal fermionic boundary conditions as a tool to probe the system. We determine the deconfinement temperature through the Polyakov loop, and the chiral symmetry restoration temperature for adjoint fermions through the gap in the Dirac spectrum. This chiral transition temperature is about four times larger than the deconfinement temperature. In between the two transitions we find that the system is characterized by a non-vanishing chiral condensate which differs for periodic and anti-periodic fermion boundary conditions. Only for the latter (physical) boundary conditions, the condensate vanishes at the chiral transition. The behavior between the two transitions suggests that deconfinement manifests itself as the onset of a dependence of spectral quantities of the Dirac operator on boundary conditions. This picture is supported further by our results for the dual chiral condensate.

Minor changes; final version to appear in JHEP

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Cited by in corpus (13)

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• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• The phase diagram of a gauge theory with fermionic baryons
• The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum
• Hadron masses and baryonic scales in $G_2$-QCD at finite density
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• On the Landau-gauge adjoint quark propagator
• The thermal instanton determinant in compact form
• QCD chiral symmetry restoration with a large number of quarks in a model with a confining propagator and dynamically massive gluons
• Chiral transition of fundamental and adjoint quarks
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• Confinement and the quark Fermi-surface in SU(2N) QCD-like theories
• Multivacuum States in a Fermionic Gap Equation with massive gluons and confinement