4.5 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2006/11/060

Keywords

lattice gauge field theories; 1/N expansion; nonperturbative effects; thermal field theory

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

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