Asymptotic safety guaranteed for strongly coupled gauge theories

Bond, Andrew D and Litim, Daniel F (2022) Asymptotic safety guaranteed for strongly coupled gauge theories. Physical Review D, 105 (10). a105005 1-12. ISSN 2470-0010

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Abstract

We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling and away from large-N Veneziano limits. This is established exemplarily for semisimple supersymmetric gauge theories with chiral matter and superpotential interactions by using the renormalization group and exact methods from supersymmetry. We determine the entire superconformal window of ultraviolet fixed points as a function of field multiplicities. Results are in accord with the a-theorem, bounds on conformal charges, Seiberg duality, and unitary. We also find manifolds of Leigh-Strassler models exhibiting lines of infrared fixed points. At weak coupling, findings are confirmed using perturbation theory up to three loop. Benchmark models with low field multiplicities are provided, including examples with Standard-Model-like gauge sectors. Implications for particle physics, model building, and conformal field theory are indicated.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 12 May 2022 06:50
Last Modified: 12 May 2022 07:00
URI: http://sro.sussex.ac.uk/id/eprint/105867

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