Canonical fermion determinants in lattice QCD - Numerical evaluation and properties

Physics – High Energy Physics – High Energy Physics - Lattice

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Comments on the physical interpretation added. Final version to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2011.01.035

We analyze canonical fermion determinants, i.e., fermion determinants projected to a fixed quark number q. The canonical determinants are computed using a dimensional reduction formula and are studied for pure SU(3) gauge configurations in a wide range of temperatures. It is demonstrated that the center sectors of the Polyakov loop very strongly manifest themselves in the behavior of the canonical determinants in the deconfined phase, and we discuss physical implications of this finding. Furthermore the distribution of the quark sectors is studied as a function of the temperature.

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