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

A. Hietanen, A. Kurkela

hep-latarXiv:hep-lat/0609015

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)/N2.

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