Karlsruhe 2011 – wissenschaftliches Programm
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T: Fachverband Teilchenphysik
T 24: Gittereichtheorie II
T 24.5: Vortrag
Dienstag, 29. März 2011, 17:45–18:00, 30.23: 10-1
Automated Lattice Perturbation Theory in the Schrödinger Functional Scheme — •Dirk Hesse1, Rainer Sommer1, and Georg M. von Hippel2 — 1NIC, DESY Zeuthen — 2Universität Mainz
While there are strong ongoing efforts to obtain QCD observables completely non-perturbatively using lattice methods, one often wishes to complement these with results from lattice perturbation theory. The latter are needed as cross-checks or guidelines for non-perturbative investigations or, in some cases, as an alternative if non-perturbative methods are not known or too involved to be practical.
Since each of the multitude of lattice actions currently in use yields different Feynman rules, lattice perturbation theory calculations have in principle to be repeated if one considers a different choice of action. Furthermore, the derivation of Feynman rules is relatively error-prone, so that a high degree of automation is desired. The use of the Schrödinger Functional scheme adds further complexity due to the non-trivial boundary conditions and a non-vanishing background gauge field.
We present a software package for fully automated lattice perturbation theory in the Schröodinger functional scheme, which incorporates diagram generation and the derivation of Feynman rules for any given gauge and fermion action.