Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
H. Panagopoulos (1), A. Skouroupathis (1), A. Tsapalis (2) ((1), Department of Physics, University of Cyprus, Nicosia, Cyprus, (2) Univ. of, Athens, Inst. of Accelerating Systems, Applications, Greece)
TL;DR
This paper computes the perturbative Free Energy and plaquette expectation value for SU(N) gluons on a three-dimensional lattice up to three loops, providing detailed results and cross-checked diagram contributions.
Contribution
It presents a three-loop perturbative calculation of the Free Energy in 3D lattice QCD for SU(N) gluons, including explicit N dependence and independent diagram evaluations.
Findings
Calculated three-loop coefficients for Free Energy.
Explicit N dependence in results.
Cross-checked diagram contributions.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.