Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory

Abstract

We study spontaneous chiral symmetry breaking and the spectral properties of the staggered lattice Dirac operator using quenched gauge configurations for the exceptional group G2, which has a trivial center. In particular we study the system below and above the finite temperature transition and use the temporal boundary conditions of the fermions to probe the system. We evaluate several observables: The spectral density at the origin, the spectral gap, the chiral condensate and the recently proposed dual chiral condensate. We show that chiral symmetry is broken at low temperatures and is restored at high temperatures at the thermodynamic phase transition. Concerning the role of the boundary conditions we establish that in all respects the spectral quantities behave for G2 in exactly the same way as for SU(N), when for the latter group the gauge ensemble above T_c is restricted to the sector of configurations with real Polyakov loop.

Minor modifications, version to appear in JHEP

References in corpus (17)

• Exceptional Deconfinement in G(2) Gauge Theory
• Dual quark condensate and dressed Polyakov loops
• Linking confinement to spectral properties of the Dirac operator
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• G_2 gauge theory at finite temperature
• Complete spectra of the Dirac operator and their relation to confinement
• On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
• Relation between chiral symmetry breaking and confinement in YM-theories
• Casimir scaling in G(2) lattice gauge theory
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
• The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions
• The dyonic picture of topological objects in the deconfined phase
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Topologically non-trivial field configurations - interplay of vortices and Dirac eigenmodes
• Laplacian modes for calorons and as a filter

Cited by in corpus (11)

• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Generations: Three Prints, in Colour
• The phase diagram of a gauge theory with fermionic baryons
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Phase diagram of the lattice G(2) Higgs Model
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Adjoint quarks and fermionic boundary conditions
• Topological aspects of G2 Yang-Mills theory
• Lattice simulations of $G_2$-QCD at finite density