Derives explicit 4D clover-improved Wilson-Dirac determinant and propagator expressions in terms of the 3D Wilson-Dirac Hamiltonian on anisotropic lattices, plus an effective Euclidean time Hamiltonian shown to be Hermitian with particle-antiparticle symmetry.
QCD at non-zero density and canonical partition functions with Wilson fermions
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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.
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Hamiltonian-based dimensional reduction and spectral reconstruction with Wilson-Dirac fermions
Derives explicit 4D clover-improved Wilson-Dirac determinant and propagator expressions in terms of the 3D Wilson-Dirac Hamiltonian on anisotropic lattices, plus an effective Euclidean time Hamiltonian shown to be Hermitian with particle-antiparticle symmetry.