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 (5)

• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• The pressure of the SU(N) lattice gauge theory at large-N
• Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
• Hot QCD, k-strings and the adjoint monopole gas model
• Static forces in d=2+1 SU(N) gauge theories

Cited by in corpus (12)

• SU(N) gauge theories at large N
• Heavy quarkonium in any channel in resummed hot QCD
• Cold quark matter at N3LO: soft contributions
• Three-dimensional physics and the pressure of hot QCD
• Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Nonperturbative contributions to the QCD pressure
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• The QCD static potential in 2+1 dimensions at weak coupling
• Linde problem in Yang-Mills theory compactified on ${\mathbb{R}}^2\times {\mathbb{T}}^2$
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills