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arXiv · 1311.0405

Schrödinger functional boundary conditions and improvement of the SU($N$) pure gauge action for $N>3$

Tuomas Karavirta·Ari Hietanen·Pol Vilaseca
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Abstract

The leading method to study the running coupling constant of non-abelian gauge theories is based on the Schrödinger functional scheme. However, the boundary conditions and $\mathcal{O}(a)$ improvement have not been systematically generalized for theories with more than three colors. These theories have applications in BSM model building as well as in the large $N$ limit. We have studied the boundary conditions and improvement for the pure Yang-Mills theory within the Schrödinger functional scheme. We have determined for all values of $N$ the boundary fields which provide high signal/noise ratio. Additionally, we have calculated the improvement coefficient $c_t$ for the pure gauge to one loop order for SU($N$) gauge theories with $N=2,\ldots,8$ from which $N\geq 4$ are previously unknown.

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Tuomas Karavirta, Ari Hietanen, Pol Vilaseca. 2013-12-02. Schrödinger functional boundary conditions and improvement of the SU($N$) pure gauge action for $N>3$. https://arxiv.org/abs/1311.0405

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