Improving lattice perturbation theory

Details Improving lattice perturbation theory Improving lattice perturbation theory

1995-07-06

arxiv.org/abs/hep-lat/9507007v1

Phys.Rev. D53 (1996) 2605-2609

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX, 8 pages

Scientific paper

10.1103/PhysRevD.53.2605

Lepage and Mackenzie have shown that tadpole renormalization and systematic improvement of lattice perturbation theory can lead to much improved numerical results in lattice gauge theory. It is shown that lattice perturbation theory using the Cayley parametrization of unitary matrices gives a simple analytical approach to tadpole renormalization, and that the Cayley parametrization gives lattice gauge potentials gauge transformations close to the continuum form. For example, at the lowest order in perturbation theory, for SU(3) lattice gauge theory, at $\beta=6,$ the `tadpole renormalized' coupling $\tilde g^2 = {4\over 3} g^2,$ to be compared to the non-perturbative numerical value $\tilde g^2 = 1.7 g^2.$

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