Asymptotic freedom in certain $SO(N)$ and $SU(N)$ models
High Energy Physics - Phenomenology
2017-10-04 v6 High Energy Physics - Theory
Abstract
We calculate the -functions for and gauge theories coupled to adjoint and fundamental scalar representations, correcting long-standing, previous results. We explore the constraints on resulting from requiring asymptotic freedom for all couplings. When we take into account the actual allowed behavior of the gauge coupling, the minimum value of in both cases turns out to be larger than realized in earlier treatments. We also show that in the large limit, both models have large regions of parameter space corresponding to total asymptotic freedom.
Keywords
Cite
@article{arxiv.1705.00751,
title = {Asymptotic freedom in certain $SO(N)$ and $SU(N)$ models},
author = {Martin B Einhorn and D R Timothy Jones},
journal= {arXiv preprint arXiv:1705.00751},
year = {2017}
}
Comments
8 pages, no figures. v6: Minor nonsubstantive changes in text and formatting