Λ-parameters for asymmetric lattice gauge theories with fermions

Abstract

Dimensional quantities obtained from Monte Carlo simulations on the lattice depend on the lattice mass parameter, ΛL. To make a connection with continuum physics, a relationship is needed between ΛL and the Λ-parameters of the continuum theory. This has been done for the euclidean symmetric lattice by others. However, in order to incorporate finite temperature into Monte Carlo studies, or to study the transition from the euclidean formulation to the hamiltonian formulation of gauge theories, asymmetric lattices (as≠at) may be used. In this paper, the assymetric calculations are extended and the ratio Λmin ΛL, where Λmin is the continuum mass parameter in the minimal subtraction scheme, is given to one loop for nf flavors of Wilson and Susskind massless fermions on an asymmetric four-dimensional lattice for two different asymmetric lattice actions. Show more