Universality and the approach to the continuum limit in lattice gauge theory

Details Universality and the approach to the continuum limit in lattice gauge theory Universality and the approach to the continuum limit in lattice gauge theory

1994-11-09

arxiv.org/abs/hep-lat/9411017v1

Nucl.Phys. B437 (1995) 447-470

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, 172 kB uu-tar-compressed ps-file

Scientific paper

10.1016/0550-3213(94)00019-B

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of energies. The lattice data (which were generated on the powerful APE computers at Rome II and DESY) are extrapolated to the continuum limit by simulating sequences of lattices with decreasing spacings. Our results confirm the expected universality at all energies to a precision of a few percent. We find, however, that perturbation theory must be used with care when matching different renormalized couplings at high energies.

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