Automatic generation of vertices for the Schroedinger functional

Shinji Takeda; Ulli Wolff

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arXiv · 0709.4167

Automatic generation of vertices for the Schroedinger functional

Shinji Takeda·Ulli Wolff

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Abstract

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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Shinji Takeda, Ulli Wolff. 2007-09-26. Automatic generation of vertices for the Schroedinger functional. https://arxiv.org/abs/0709.4167

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