Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-04-22
JHEP 0911:035,2009
Physics
High Energy Physics
High Energy Physics - Lattice
Minor changes; final version to appear in JHEP
Scientific paper
10.1088/1126-6708/2009/11/035
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.
Bilgici Erek
Gattringer Christof
Ilgenfritz Ernst-Michael
Maas Axel
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