Automated generation of lattice QCD Feynman rules

Abstract

The derivation of the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially for highly improved actions such as HISQ. This task is, however, both important and particularly suitable for automation. We describe a suite of software to generate and evaluate Feynman rules for a wide range of lattice field theories with gluons and (relativistic and/or heavy) quarks. Our programs are capable of dealing with actions as complicated as (m)NRQCD and HISQ. Automated differentiation methods are used to calculate also the derivatives of Feynman diagrams.

Submitted to Computer Physics Communications 40th Anniversary Issue. (40 pages, 2 figures). Source code for programs described is available from the Computer Physics Communications Program Library, http://www.cpc.cs.qub.ac.uk/

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