Free energy and plaquette expectation value for gluons on the lattice, in three dimensions

2006/01/31 by H. Panagopoulos, A. Skouroupathis, A. Tsapalis · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.73.054511

published as Phys.Rev. D73 (2006) 054511 · 12 pages, 3 figures. Expanded introduction and discussion, more details in presentation, no changes in results. Accepted in Phys. Rev. D

arxiv created 2006/02/24 · openalex publication_date 2006/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the perturbative value of the free energy in lattice QCD in three dimensions, up to three loops. Our calculation is performed using the Wilson formulation for gluons in SU(N) gauge theories. The free energy is directly related to the average plaquette. To carry out the calculation, we compute the coefficients involved in the perturbative expansion of the Free Energy up to three loops, using an automated set of procedures developed by us in Mathematica. The dependence on N is shown explicitly in our results. For purposes of comparison, we also present the individual contributions from every diagram. These have been obtained by means of two independent calculations, in order to cross check our results.

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