Fixed points and the spontaneous breaking of scale invariance

Litim, Daniel F, Marchais, Edouard and Mati, Péter (2017) Fixed points and the spontaneous breaking of scale invariance. Physical Review D, 95 (12). pp. 125006-1. ISSN 2470-0010

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We investigate critical N-component scalar field theories and the spontaneous breaking of scale invariance in three dimensions using functional renormalization. Global and local renormalization group flows are solved analytically in the infinite N limit to establish the exact phase diagram of the theory including the Wilson-Fisher fixed point and a line of asymptotically safe UV fixed points. We also study the Bardeen-Moshe-Bander phenomenon of spontaneously broken scale invariance and the stability of the vacuum for general regularization. Our findings clarify a long-standing puzzle about the apparent unboundedness of the effective potential. Implications for other theories are indicated.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Billy Wichaidit
Date Deposited: 12 Jan 2018 10:44
Last Modified: 12 Jan 2018 10:45

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