Running coupling constant and correlation length from Wilson loops
Abstract
We consider a definition of the QCD running coupling constant α(μ) related to Wilson loops of size r×t with arbitrary fixed t/r. The schemes defined by these couplings are very close to the MS scheme for all values of t/r; in the t/r∞ limit, the ``q 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) up to very large momentum scales by use of finite-size scaling techniques.
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