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Series expansions of the density of states in SU(2) lattice gauge theory
Journal article   Open access   Peer reviewed

Series expansions of the density of states in SU(2) lattice gauge theory

A Denbleyker, Daping Du, Yuzhi Liu, Y Meurice and A Velytsky
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.78(5), 54503
07/01/2008
DOI: 10.1103/PhysRevD.78.054503
url
https://arxiv.org/pdf/0807.0185View
Open Access

Abstract

Phys.Rev.D78:054503,2008 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.

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