Finite volume effects in SU(2) lattice gauge theories

Monte Carlo methods are used to investigate finite volume effects in an SU(2) gauge theory formulated on a hypercubical lattice. As a consequence of the finite volume of the lattice, a deconfining phase transition analogous to the finite temperature phase transition is observed. The critical temperature is consistent with the value obtained by similar studies on asymmetric lattices. The importance of using large lattices in Monte Carlo simulation is emphasized.

I would like to thank the SLAC theoretical physics group for its hospitality and the generous support of its computing facilities. I benefited from discussions with G. Bodwin and J. Kuti. I am also grateful to M. Nauenberg and T. Schalk for a copy of their Monte Carlo program and I am indebted to T. Schalk for his programming assistance.