Approximate forms of the density of states
A. Denbleyker, Daping Du, Yuzhi Liu, Y. Meurice, A. Velytsky
TL;DR
This paper compares Monte Carlo calculations with weak and strong coupling expansions for the density of states in SU(2) gauge theory, revealing overlapping validity ranges and similar large order behaviors, with implications for Fisher's zeros.
Contribution
It demonstrates the significant overlap in validity of weak and strong coupling expansions for the density of states in SU(2) gauge theory and analyzes their large order behavior.
Findings
Overlap in validity ranges of the two approximations
Similar large order behavior to plaquette expansions
Implications for Fisher's zeros calculation
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.
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Taxonomy
TopicsAdvanced Physical and Chemical Molecular Interactions · Advanced Thermodynamics and Statistical Mechanics