A definition of the running coupling constant in a twisted SU(2) lattice gauge theory
G.M. de Divitiis, R. Frezzotti, M. Guagnelli, R. Petronzio
TL;DR
This paper introduces a new way to define the running coupling constant in twisted SU(2) lattice gauge theory using Polyakov loop correlations, and connects it to standard schemes through perturbative calculations.
Contribution
It presents a novel definition of the running coupling in twisted SU(2) lattice gauge theory and provides a perturbative relation to standard schemes.
Findings
Derived the ratio Lambda_Twisted-Polyakov / Lambda_MSbar = 1.6136(2)
Proposed a correlation-based definition using twisted boundary conditions
Connected the new definition to existing regularization schemes
Abstract
We propose a definition of the running coupling constant in a SU(2) lattice gauge theory with twisted boundary conditions. It is based on the correlation of Polyakov loops extended in a twisted direction at a distance which is a fixed fraction of the totale lattice size. We make the perturbative calculation which connects this definition to standard regularization schemes. We find Lambda_Twisted-Polyakov/Lambda_MSbar = 1.6136(2).
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.