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

Preprint

23 February 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9502017

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

COORDINATE SPACE
FEYNMAN DIAGRAMS
SPACE METHODS
LATTICE FIELD
FIELD THEORY
PROPAGATORS
INTEGRALS

All Related Versions

Version 1, 1995-02-22, ArXiv
Version 2, 1995-02-23, ArXiv
Published version: Nuclear Physics B, 445 (2-3), 429.

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