Campostrini, Massimo and Rossi, Paolo and Vicari, Ettore (1995) *Running coupling constant and correlation length from Wilson loops.* Physics letters. B , B349 . p. 499. ISSN 1873-2445

## 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 (i.e.\ the one-loop perturbative correction to the coupling is small) for all values of $t/r$; in the $t/r\to\infty$ limit, the ``$q\bar q$ force'' scheme is recovered, where the coupling constant is related to the quark-antiquark force. We discuss the possibility of applying finite-size scaling techniques to the Monte Carlo evaluation of $\alpha(\mu)$ up to very large momentum scales. We propose a definition of correlation length, also related to Wilson loops, which should make such a computation feasible.

Item Type: | Article |
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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 15:48 |

Last Modified: | 09 Apr 2015 15:48 |

URI: | http://eprints.adm.unipi.it/id/eprint/1817 |

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