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Fixed points and the spontaneous breaking of scale invariance

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posted on 2023-06-09, 11:34 authored by Daniel LitimDaniel Litim, Edouard Marchais, Péter Mati
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.

Funding

Theoretical Particle Physics Consortium Sussex - Royal Holloway; G1449; STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCIL; ST/L000504/1

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

2470-0010

Publisher

American Physical Society

Issue

12

Volume

95

Page range

125006-1

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-01-12

First Open Access (FOA) Date

2018-01-12

First Compliant Deposit (FCD) Date

2018-01-12

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