Monte Carlo Calculation of Lattice QCD with Exact Treatment of Dynamical Quark Loops

We study the effects of Wilson fermions in SU(3) lattice gauge theory by an algorithm considering the fermion determinant exactly. We use lattices of size $4^3$×2 and $4^4$. A comparison is made with the outcomes of fast approximate algorithms of the bush-factorized type. Our results point to the occurrence of a phase transition near $\beta =5.3\mathrm{}$ and $\kappa =0.14\mathrm{}$. We discuss the relation of this phase transition to that observed recently with the Kogut-Susskind-type fermionic action.