Continuum methods in lattice perturbation theory

Details Continuum methods in lattice perturbation theory Continuum methods in lattice perturbation theory

2002-11-14

arxiv.org/abs/hep-ph/0211215v1

Nucl.Phys.Proc.Suppl. 116 (2003) 407-411

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages. Talk presented at RADCOR/Loops and Legs 2002, Kloster Banz, Germany, 8-13 Sep 2002

Scientific paper

10.1016/S0920-5632(03)80209-8

We show how methods of continuum perturbation theory can be used to simplify perturbative lattice calculations. We use the technique of asymptotic expansions to expand lattice loop integrals around the continuum limit. After the expansion, all nontrivial dependence on momenta and masses is encoded in continuum loop integrals and the only genuine lattice integrals left are tadpole integrals. Using integration-by-parts relations all of these can be expressed in terms of a small number of master integrals. Four master integrals are needed for bosonic one loop integrals, sixteen in QCD with Wilson or staggered fermions.

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