Automatic generation of vertices for the Schroedinger functional

Details Automatic generation of vertices for the Schroedinger functional Automatic generation of vertices for the Schroedinger functional

2007-09-26

arxiv.org/abs/0709.4167v1

PoSLAT2007:257,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, 1 table, contribution to Lattice 2007, Regensburg, Germany

Scientific paper

We present a multiplication algorithm to recursively construct vertices for the Schroedinger functional in the abelian background field case. The algorithm is suited for automatic perturbative calculations with a variety of actions. As first applications, we derive ratios of the lambda parameters between the lattice scheme (improved gauge actions including six link loops) and the $\bar{\rm MS}$ scheme, and one-loop results for the Schroedinger functional coupling with a lattice $T=L \pm a$, which is motivated by considering staggered fermions.

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