Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory

Details Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory

1995-02-22

arxiv.org/abs/hep-lat/9502017v2

Nucl.Phys. B445 (1995) 429-450

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, postscript file, now compressed & uuencoded

Scientific paper

10.1016/0550-3213(95)00185-U

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.

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