Asymptotic freedom in certain <i>SO</i>(<i>N</i>) and <i>SU</i>(<i>N</i>) models



Einhorn, Martin B and Jones, DR Timothy
(2017) Asymptotic freedom in certain <i>SO</i>(<i>N</i>) and <i>SU</i>(<i>N</i>) models. PHYSICAL REVIEW D, 96 (5). 055035-.

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Abstract

We calculate the β-functions for SO(N) and SU(N) gauge theories coupled to adjoint and fundamental scalar representations, correcting longstanding, previous results. We explore the constraints on N 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 N in both cases turns out to be larger than realized in earlier treatments. We also show that in the large N limit, both models have large regions of parameter space corresponding to total asymptotic freedom.

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 07 Dec 2017 11:04
Last Modified: 16 Mar 2024 20:18
DOI: 10.1103/PhysRevD.96.055035
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3013653