Canonical fermion determinants in lattice QCD - Numerical evaluation and properties

Abstract

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.

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

References in corpus (14)

• Canonical partition function and finite density phase transition in lattice QCD
• Finite density QCD with a canonical approach
• Dual quark condensate and dressed Polyakov loops
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
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• QCD at non-zero density and canonical partition functions with Wilson fermions
• Wilson Fermion Determinant in Lattice QCD
• Winding expansion techniques for lattice QCD with chemical potential
• Finite Density Simulations with Canonical Ensemble
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Cited by in corpus (15)

• Finite-density lattice QCD and sign problem: current status and open problems
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• The QCD phase diagram according to the center group
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Fermionic boundary conditions and the finite temperature transition of QCD
• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions
• Subsets and the canonical partition functions
• Study of QCD critical point using canonical ensemble method
• A study of the sign problem for lattice QCD with chemical potential
• Distribution of Canonical Determinants in QCD
• Solving the Complex Phase Problem in a QCD Related Model
• QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion
• Taylor- and fugacity expansion for the effective Z(3) spin model of QCD at finite density
• Properties of canonical fermion determinants with a fixed quark number