Preprint number: CP3-Origins-2013-42 DNRF90 and DIAS-2013-42
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 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 ct for the pure gauge to one loop order for SU(N) gauge theories with N=2,…,8 from which N ≥ 4 are previously unknown.