English

Running coupling constant and correlation length from Wilson loops

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We consider a definition of the QCD running coupling constant α(μ)\alpha(\mu) related to Wilson loops of size r×tr{\times}t with arbitrary fixed t/rt/r. The schemes defined by these couplings are very close to the MS\overline{\rm MS} scheme for all values of t/rt/r; in the t/rt/r\to\infty limit, the ``qqˉq\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 α(μ)\alpha(\mu) up to very large momentum scales by use of finite-size scaling techniques.

Keywords

Cite

@article{arxiv.hep-lat/9509026,
  title  = {Running coupling constant and correlation length from Wilson loops},
  author = {Massimo Campostrini and Paolo Rossi and Ettore Vicari},
  journal= {arXiv preprint arXiv:hep-lat/9509026},
  year   = {2009}
}

Comments

3 pages, compressed uuencoded PostScript, Contribution to Lattice 95