Simulation of Staggered Fermions by Polymer Algorithms

Abstract

The Pauli principle is usually implemented in the fermionic path integrals by Grassmann-variables. This form is, however, not well suited for a direct numerical simulation. The usual procedure is to perform the Grassmann-integral and simulate the bosonic system with an effective action containing the logarithm of the fermion determinant. Due to the non-locality of the effective bosonic action such fermion algorithms are, unfortunately, considerably slower than a typical pure bosonic algorithm (for a recent review see [1]). Moreover, the Monte Carlo integration of the effective bosonic field theory is only possible if the fermion determinant is positive. Examples where the fermion determinant is complex are, for instance: QCD with non-zero chemical potential or simple scalar-fermion models with chiral Yukawa-couplings etc. Under these circumtances the search for alternative, possibly local, fermion algorithms is well motivated.KeywordsEquivalence ClassOpen LineFermion PropagatorStagger FermionFermion DeterminantThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.