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A definition of the running coupling constant in a twisted SU(2) lattice gauge theory

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arxiv hep-lat/9312085 v1 pith:LTDH4QK4 submitted 1993-12-28 hep-lat

A definition of the running coupling constant in a twisted SU(2) lattice gauge theory

classification hep-lat
keywords definitionlatticetwistedconstantcouplinggaugelambdarunning
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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).

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