Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory

Abstract

We use high precision lattice simulations to calculate the plaquette expectation value in three-dimensional SU(N) gauge theory for N=2,3,4,5,8. Using these results, we study the N-dependence of the first non-perturbative coefficient in the weak-coupling expansion of hot QCD. We demonstrate that, in the limit of large N, the functional form of the plaquette expectation value with ultraviolet divergences subtracted is 15.9(2)-44(2)/N^2.

14 pages, 6 figures. v2: references added; published version

References in corpus (2)

• The pressure of the SU(N) lattice gauge theory at large-N
• Hot QCD, k-strings and the adjoint monopole gas model

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• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills