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

Preprint

22 February 1995

preprint
Published by arXiv in arXiv

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
LATTICE FIELD
SPACE METHODS
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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