Running coupling constant and correlation length from Wilson loops

Details Running coupling constant and correlation length from Wilson loops Running coupling constant and correlation length from Wilson loops

1995-09-12

arxiv.org/abs/hep-lat/9509026v1

Nucl.Phys.Proc.Suppl. 47 (1996) 251-253

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, compressed uuencoded PostScript, Contribution to Lattice 95

Scientific paper

10.1016/0920-5632(96)00049-7

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.

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