Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-10-22
JHEP 0901:024,2009
Physics
High Energy Physics
High Energy Physics - Lattice
Minor modifications, version to appear in JHEP
Scientific paper
10.1088/1126-6708/2009/01/024
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.
Danzer Julia
Gattringer Christof
Maas Axel
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