QCD at non-zero density and canonical partition functions with Wilson fermions
arXiv:1009.2197 · doi:10.1103/PhysRevD.83.034502
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