Properties of canonical fermion determinants with a fixed quark number

Details Properties of canonical fermion determinants with a fixed quark number Properties of canonical fermion determinants with a fixed quark number

2009-10-19

arxiv.org/abs/0910.3541v2

PoS LAT2009:185,2009

Physics

High Energy Physics

High Energy Physics - Lattice

Two figures updated, comments on quark pairing removed

Scientific paper

Using a dimensional reduction formula for the lattice fermion determinant we study canonical determinants on quenched SU(3) gauge configurations. The canonical determinants decribe a fixed quark number and we analyze their properties below and above the transition temperature. We find that above $T_c$ the signatures of center symmetry breaking are very strongly manifest in the distribution of the canonical determinants in the complex plane, and we discuss possible physical implications of this finding. We furthermore analyze the relative weight of the different quark sectors below and above the transition temperature.

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