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

2013/11/02 by Tuomas Karavirta, Karavirta, Tuomas, Ari Hietanen +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1311.0405

openalex publication_date 2013/11/02 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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 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,…,8 from which N≥ 4 are previously unknown.

Related

• Running Coupling in pure gauge theories using the Schrödinger functional
• Testing (asymptotic) scaling in Yang-Mills theories in the large-N_c limit
• The running coupling from lattice gauge theory:
• Calculation of the running coupling in non-Abelian gauge theories from Jarzynski's equality
• Nonperturbative properties of Yang-Mills theories