Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory
High Energy Physics - Lattice
2016-08-31 v2
Abstract
We describe an efficient position space technique to calculate lattice Feynman integrals in infinite volume. The method applies to diagrams with massless propagators. For illustration a set of two-loop integrals is worked out explicitly. An important ingredient is an observation of Vohwinkel that the free lattice propagator can be evaluated recursively and is expressible as a linear function of its values near the origin.
Keywords
Cite
@article{arxiv.hep-lat/9502017,
title = {Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory},
author = {Martin Luescher and Peter Weisz},
journal= {arXiv preprint arXiv:hep-lat/9502017},
year = {2016}
}
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27 pages, postscript file, now compressed & uuencoded