Comparison of an Exact Fermion Monte Carlo Algorithm with the Pseudofermion Method Using Staggered Fermions

Abstract

We present first results obtained from a simulation of lattice OCD with staggered fermions by a Monte Carlo algorithm that incorporates the effect of the fermion determinant exactly. The chiral condensate $\overline{\chi }\chi$ and various Wilson-loop expectation values are measured on a $4^4$ space-time lattice and the results are compared with the same quantities measured on the same-size lattice with the pseudofermion method. A quantitatively good agreement is found.