Automatically generating Feynman rules for improved lattice field theories

TL;DR

The paper introduces an automated, flexible algorithm and implementation in Python for generating Feynman rules in various lattice field theories, simplifying a complex derivation process especially with improvement terms.

Contribution

It presents a novel, adaptable algorithm and a Python implementation for automating Feynman rule generation in lattice field theories, including complex cases with improvement terms.

Findings

Efficient Python implementation available for diverse lattice theories.

Automates complex derivation of Feynman rules with improvement terms.

Applicable to gluons, relativistic fermions, and heavy quarks.

Abstract

Deriving the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially when improvement terms are present. This physically important task is, however, suitable for automation. We describe a flexible algorithm for generating Feynman rules for a wide range of lattice field theories including gluons, relativistic fermions and heavy quarks. We also present an efficient implementation of this in a freely available, multi-platform programming language (\python), optimised to deal with a wide class of lattice field theories.