Conformal gauge-Yukawa theories away from four dimensions

Codello, Alessandro, Langæble, Kasper, Litim, Daniel F and Sannino, Francesco (2016) Conformal gauge-Yukawa theories away from four dimensions. Journal of High Energy Physics, 2016 (7). ISSN 1029-8479

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We present the phase diagram and associated fixed points for a wide class of Gauge-Yukawa theories in d=4+ϵ dimensions. The theories we investigate involve non-abelian gauge fields, fermions and scalars in the Veneziano-Witten limit. The analysis is performed in steps, we start with QCD d and then we add Yukawa interactions and scalars which we study at next-to- and next-to-next-to-leading order. Interacting infrared fixed points naturally emerge in dimensions lower than four while ultraviolet ones appear above four. We also analyse the stability of the scalar potential for the discovered fixed points. We argue for a very rich phase diagram in three dimensions while in dimensions higher than four certain Gauge-Yukawa theories are ultraviolet complete because of the emergence of an asymptotically safe fixed point.

Item Type: Article
Keywords: Field theories in higher dimensions, Field theories in lower dimensions, Renormalisation group
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Research Centres and Groups: Theoretical Particle Physics Research Group
Subjects: Q Science > QC Physics
Depositing User: Richard Chambers
Date Deposited: 27 Sep 2016 11:26
Last Modified: 03 Jul 2019 02:17

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Project NameSussex Project NumberFunderFunder Ref
Theoretical Particle Physics Consortium Sussex - Royal HollowayG1449STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/L000504/1