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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Abstract

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
URI:	http://srodev.sussex.ac.uk/id/eprint/72789

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