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Running coupling constant and correlation length from Wilson loops

Campostrini, Massimo and Rossi, Paolo and Vicari, Ettore (1996) Running coupling constant and correlation length from Wilson loops. Nuclear Physics B - Proceedings Supplements . p. 251. ISSN 1873-3832

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Abstract

We consider a definition of the QCD running coupling constant $\alpha(\mu)$ related to Wilson loops of size $r{\times}t$ with arbitrary fixed $t/r$. The schemes defined by these couplings are very close to the $\overline{\rm MS}$ scheme for all values of $t/r$; in the $t/r\to\infty$ limit, the ``$q\bar q$ force'' scheme is recovered. We propose a definition of correlation length, also related to Wilson loops, which can be applied to the Monte Carlo evaluation of $\alpha(\mu)$ up to very large momentum scales by use of finite-size scaling techniques.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 15:47
Last Modified: 09 Apr 2015 15:47
URI: http://eprints.adm.unipi.it/id/eprint/1821

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