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T: Teilchenphysik
T 707: QCD III
T 707.8: Talk
Wednesday, March 9, 2005, 15:45–16:00, TU H2037
Automated Generation of Feynman Rules for Improved Lattice Actions — •Georg von Hippel1,2, Alistair Hart3, Ron Horgan2, and Laurent Storoni2 — 1Department of Physics, University of Regina, Regina, SK, S4S 0A2, Canada — 2DAMTP, CMS, University of Cambridge, Cambridge CB3 0WA, U.K. — 3School of Physics, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JZ, U.K.
Deriving the Feynman rules for lattice perturbation theory from improved actions and operators is a necessary, but tedious and complicated, task. It is therefore 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 [1]. This algorithm has been successfully used to compute perturbative tadpole improvement factors in pure gauge theory [2] and decay constants for heavy quarkonia in NRQCD [3]. We also present an efficient implementation of this in a freely available, multi-platform language called Python.
[1] A. Hart, G.M. von Hippel, R.R. Horgan, L.C. Storoni, Automatically generating Feynman rules for improved lattice field theories, submitted to J.Comp.Phys.
[2] A.Hart, R.R. Horgan, L.C. Storoni, Perturbation theory vs. simulation for tadpole improvement factors in pure gauge theories, Phys.Rev. D70 (2004) 034501, hep-lat/0402033.
[3] A. Gray, A. Hart, G.M. von Hippel, R.R. Horgan, S-wave QCD/NRQCD matching for the vector annihilation current at O(αs v2), in preparation.