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arXiv:hep-lat/9312085·v1·High Energy Physics — Lattice

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🇮🇹

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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).

Comments: 19 postscript pages

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