Numerical evidence for loop convergence in Yang-Mills thermodynamics

Details Numerical evidence for loop convergence in Yang-Mills thermodynamics Numerical evidence for loop convergence in Yang-Mills thermodynamics

2008-12-12

arxiv.org/abs/0812.2352v3

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 12 figures, new sections added

Scientific paper

The numerical results for the computed moduli of the irreducible three-loop contributions to the thermodynamical pressure of an SU(2) Yang-Mills theory in the effective theory for the deconfinning phase are explained in detail. Irreducible three-loop integrations are compared with two-loop integrations and the different nature of their integrations is scrutinized and illustrated numerically. The numerical results show a rapid convergence in the loop expansion of Yang-Mills thermodynamics. The statistical method used for irreducible three-loop integrations is explained and checked for two-loop integrations. The statistical results for two-loop integrations are compatible with the former computed analytical results showing the reliability of the statistical method.This is a companion paper to [1].

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