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Continuum methods in lattice perturbation theory

✍ Scribed by Thomas Becher; Kirill Melnikov

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
383 KB
Volume
116
Category
Article
ISSN
0920-5632

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✦ Synopsis

We show how methods of continuum perturbation theory can be used to simplify perturbative lattice calculalions. 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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Approaching the continuum limit using ch
Approaching the continuum limit using chiral perturbation theory
✍ Gautam Rupak; Noam Shoresh πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 289 KB

We extend chiral perturbation theory to include linear dependence on the lattice spacing a for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass m4 and lattice spacing a. We present formulae for the mass and decay constant of a flavor-non-singlet mes