Schr\"odinger functional boundary conditions and improvement of the SU($N$) pure gauge action for $N>3$

Understand

The leading method to study the running coupling constant of non-abelian gauge theories is based on the Schr\"odinger 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 Schr\"odinger functional scheme.