The continuum limit of perturbative coefficients calculated with a large field cutoff

Details The continuum limit of perturbative coefficients calculated with a large field cutoff The continuum limit of perturbative coefficients calculated with a large field cutoff

2003-09-14

arxiv.org/abs/hep-lat/0309066v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 4 figs., Lattice2003(theory)

Scientific paper

We report MC calculations of perturbative coefficients for lattice scalar field theory in dimensions 1, 2 and 3, where the large field contributions are cutoff. This produces converging (instead of asymptotic) perturbative series. We discuss the statistical errors and the lattice effects and show that accurate calculations are possible even in a crossover region where no approximation works. We show that the field cutoff is also a UV regulator. We point out the relevance for QCD questions discussed by Tomboulis and Trottier at this conference.

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