Berlin 2005 – wissenschaftliches Programm
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HK: Physik der Hadronen und Kerne
HK 12: Theorie
HK 12.5: Vortrag
Freitag, 4. März 2005, 17:45–18:00, TU MA041
Automated Generation of Feynman Rules for Lattice Chiral Perturbation Theory — •Georg von Hippel1,2, Buḡra Borasoy3, Alistair Hart4, Ron Horgan2, and Randy Lewis1 — 1Department of Physics, University of Regina, Regina, SK, S4S 0A2, Canada — 2DAMTP, CMS, University of Cambridge, Cambridge CB3 0WA, U.K. — 3Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, 53115 Bonn, Germany — 4School of Physics, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JZ, U.K.
We present an algorithm to systematically and efficiently generate Feynman rules for chiral perturbation theory on a lattice, which is based on a similar algorithm implemented by some of the authors for the case of improved actions in lattice QCD [1]. A program written in Python performs the perturbative expansion of the lattice action and generates the vertices and propagators, which then can be output in either a human-readable format or as data files that can serve as input for programs to perform automated numerical evaluations of lattice Feynman diagrams. A FORTRAN library is presented as an example of the latter approach. We expect this automated approach to significantly facilitate future calculations in lattice-regularized χPT.
[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.