Improved automated lattice perturbation theory in background field gauge

T. C. Hammant, R. R. Horgan, C. J. Monahan, A. G. Hart, E. H. Müller, A. Gray, K. Sivalingham, G. M. von Hippel

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We present an algorithm to automatically derive Feynman rules for lattice perturbation theory in background field gauge. Vertices with an arbitrary number of both background and quantum legs can be derived automatically from both gluonic and fermionic actions. The algorithm is a generalisation of our earlier algorithm based on prior work by L\"uscher and Weisz. We also present techniques allowing for the parallelisation of the evaluation of the often rather complex lattice Feynman rules that should allow for efficient implementation on GPUs, but also give a significant speed-up when calculating the derivatives of Feynman diagrams with respect to external momenta.
Original languageEnglish
Article number043
JournalProceedings of Science
Issue numberLattice 2010
Publication statusPublished - 11 Nov 2010
EventThe XXVIII International Symposium on Lattice Field Theory - Lattice 2010 - Villasimius, Italy
Duration: 14 Jun 201019 Jun 2010


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