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.

arXiv comment14 pages, 6 figures. v2: references added; published version

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• Cool quark matter
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• Three-dimensional physics and the pressure of hot QCD
• Four-loop pressure of massless O(N) scalar field theory
• Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• Debye screening mass of hot Yang-Mills theory to three-loop order
• The diagonal and off-diagonal quark number susceptibility of high temperature and finite density QCD
• Nonperturbative contributions to the QCD pressure
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• The N_f^3 g^6 term in the pressure of hot QCD
• The QCD static potential in D<4 dimensions at weak coupling
• The QCD static potential in 2+1 dimensions at weak coupling
• Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
• 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
• Center-symmetric dimensional reduction of hot Yang-Mills theory