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On the Viability of Lattice Perturbation Theory

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arxiv hep-lat/9209022 v1 pith:3DURQ6ID submitted 1992-09-22 hep-lat

G.P.Lepage , P.B.Mackenzie This is my paper · ORCID
classification hep-lat
keywords latticeperturbationquantitiestheorycouplingscalebetaconstant
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this paper we show that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter. Using instead ``renormalized'' coupling constants defined in terms of physical quantities, like the heavy-quark potential, greatly enhances the predictive power of lattice perturbation theory. The quality of these predictions is further enhanced by a method for automatically determining the coupling-constant scale most appropriate to a particular quantity. We present a mean-field analysis that explains the large renormalizations relating lattice quantities, like the coupling constant, to their continuum analogues. This suggests a new prescription for designing lattice operators that are more continuum-like than conventional operators. Finally, we provide evidence that the scaling of physical quantities is asymptotic or perturbative already at $\beta$'s as low as 5.7, provided the evolution from scale to scale is analyzed using renormalized perturbation theory. This result indicates that reliable simulations of (quenched) QCD are possible at these same low $\beta$'s.

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Cited by 10 Pith papers

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