Approximate forms of the density of states

Abstract

We compare MC calculations of the density of states in SU(2) pure gauge theory with the weak and strong coupling expansions. Surprisingly, the range of validity of the two approximations overlap significantly, however the large order behavior of both expansions appear to be similar to the corresponding expansions of the plaquette. We discuss the implications for the calculation of the Fisher's zeros of the partition function.

Comments: 7 pages, 6 figures, talk by Y. Meurice at the XXVI International Symposium on Lattice Field Theory, 14-19 July 2008, Williamsburg, VA, USA