Automatically generating Feynman rules for improved lattice field theories

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...

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Bibliographic Details
Published in:Journal of computational physics Vol. 209; no. 1; pp. 340 - 353
Main Authors: Hart, A., von Hippel, G.M., Horgan, R.R., Storoni, L.C.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 10.10.2005
Elsevier
Subjects:
ALGORITHMS
B QUARKS
C QUARKS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational techniques
Exact sciences and technology
Fermions
FEYNMAN GAS MODEL
Feynman rules
Field theory
GLUONS
IMPLEMENTATION
LATTICE FIELD THEORY
Lattices
Mathematical methods in physics
PERTURBATION THEORY
Physics
PROGRAMMING LANGUAGES
RELATIVISTIC RANGE
T QUARKS
Tasks
11.15.Ha
12.38.Gc
Perturbation theory
65S05
81T18
81V05
81T13
Feynman rules
81T25
81T15
41A58
81-04
Lattice field theory
Operator
Feynman rule
Lattice theory
Heavy fermions
Heavy quark effective theory
Calculation methods
Algorithms
Gluons
12.38.Gc 81.04
Calculation
41A58 Lattice field theory
ISSN:0021-9991, 1090-2716
Online Access:Get full text
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Description
Summary: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 (P ython), optimised to deal with a wide class of lattice field theories.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2005.03.010