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

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dc.creatorDanzer, Julia
dc.creatorGattringer, Christof
dc.creatorMaas, Axel
dc.date2008-10-22
dc.date2009-01-07
dc.date.accessioned2026-07-07T12:30:26Z
dc.date.available2026-07-07T12:30:26Z
dc.descriptionWe 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.
dc.descriptionMinor modifications, version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0810.3973
dc.identifierhttp://arxiv.org/abs/0810.3973
dc.identifierJHEP 0901:024,2009
dc.identifierdoi:10.1088/1126-6708/2009/01/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216128
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleChiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
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