QCD at non-zero density and canonical partition functions with Wilson fermions

Abstract

We present a reduction method for Wilson Dirac fermions with non-zero chemical potential which generates a dimensionally reduced fermion matrix. The size of the reduced fermion matrix is independent of the temporal lattice extent and the dependence on the chemical potential is factored out. As a consequence the reduced matrix allows a simple evaluation of the Wilson fermion determinant for any value of the chemical potential and hence the exact projection to the canonical partition functions.

22 pages, 11 figures, 1 table; references added, figure size reduced

References in corpus (6)

• Canonical partition function and finite density phase transition in lattice QCD
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• Wilson Fermion Determinant in Lattice QCD
• Winding expansion techniques for lattice QCD with chemical potential
• Hadron spectroscopy from canonical partition functions