Series expansions of the density of states in SU(2) lattice gauge theory
Abstract
We calculate numerically the density of states n(S) for SU(2) lattice gauge theory on L4 lattices. Small volume dependence are resolved for small values of S. We compare ln(n(S)) with weak and strong coupling expansions. Intermediate order expansions show a good overlap for values of S corresponding to the crossover. We relate the convergence of these expansions to those of the average plaquette. We show that when known logarithmic singularities are subtracted from ln(n(S)), expansions in Legendre polynomials appear to converge and could be suitable to determine the Fisher's zeros of the partition function.
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