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

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

2006-09-08

arxiv.org/abs/hep-lat/0609015v2

JHEP0611:060,2006

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/1126-6708/2006/11/060

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.

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