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 $L^4$ 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.

arXiv commentrevtex, 10 pages, 20 figures, minor errors corected

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Cited by in corpus (9)

• The density of states in gauge theories
• Fisher's zeros as boundary of renormalization group flows in complex coupling spaces
• Density of states and Fisher's zeros in compact U(1) pure gauge theory
• Dyson instability for 2D nonlinear O(N) sigma models
• Applying the Wang-Landau Algorithm to Lattice Gauge Theory
• Dyson's Instability in Lattice Gauge Theory
• Bootstrapping SU(3) Lattice Yang-Mills Theory
• Volume dependence of Fisher's zeros
• Fisher's zeros, complex RG flows and confinement in LGT models