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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| Veröffentlicht in: | Journal of computational physics Jg. 209; H. 1; S. 340 - 353 |
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| Sprache: | Englisch |
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10.10.2005
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| ISSN: | 0021-9991, 1090-2716 |
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| 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 (P
ython), optimised to deal with a wide class of lattice field theories. |
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| AbstractList | 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. 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. 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. |
| Author | Storoni, L.C. Hart, A. von Hippel, G.M. Horgan, R.R. |
| Author_xml | – sequence: 1 givenname: A. surname: Hart fullname: Hart, A. email: a.hart@ed.ac.uk organization: School of Physics, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JZ, UK – sequence: 2 givenname: G.M. surname: von Hippel fullname: von Hippel, G.M. organization: DAMTP, CMS, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK – sequence: 3 givenname: R.R. surname: Horgan fullname: Horgan, R.R. organization: DAMTP, CMS, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK – sequence: 4 givenname: L.C. surname: Storoni fullname: Storoni, L.C. organization: DAMTP, CMS, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK |
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| Cites_doi | 10.1103/PhysRevD.70.034501 10.1088/1126-6708/2001/10/038 10.1016/S0920-5632(03)01586-X 10.1016/S0920-5632(03)02515-5 10.1103/PhysRevD.65.094502 10.1016/0021-9991(78)90004-9 10.1016/S0920-5632(00)91829-2 10.1016/S0920-5632(01)01870-9 10.1016/j.physletb.2004.06.035 10.1016/0550-3213(86)90094-5 10.1103/PhysRevLett.93.241601 10.1016/0370-2693(85)90966-9 10.1088/1126-6708/2004/10/073 10.1103/PhysRevD.63.074505 10.1016/S0920-5632(03)01589-5 10.1016/S0920-5632(03)02580-5 10.1103/PhysRevD.68.057501 10.1016/0550-3213(94)90632-7 10.1007/BF01206178 10.1103/PhysRevD.48.2250 10.1103/PhysRevD.66.094509 10.1016/S0920-5632(01)01860-6 10.1016/S0370-1573(03)00211-4 |
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| Keywords | 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 |
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| SubjectTerms | 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 |
| Title | Automatically generating Feynman rules for improved lattice field theories |
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