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Inertial spontaneous symmetry breaking and quantum scale invariance

Abstract:
Weyl invariant theories of scalars and gravity can generate all mass scales spontaneously, initiated by a dynamical process of “inertial spontaneous symmetry breaking” that does not involve a potential. This is dictated by the structure of the Weyl current, K μ , and a cosmological phase during which the Universe expands and the Einstein-Hilbert effective action is formed. Maintaining exact Weyl invariance in the renormalized quantum theory is straightforward when renormalization conditions are referred back to the VEV’s of fields in the action of the theory, which implies a conserved Weyl current. We do not require scale invariant regulators. We illustrate the computation of a Weyl invariant Coleman-Weinberg potential.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevD.98.116012

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Astrophysics
Oxford college:
Oriel College
Role:
Author
ORCID:
0000-0002-3021-2851
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review D More from this journal
Volume:
98
Issue:
11
Article number:
116012
Publication date:
2018-12-28
Acceptance date:
2018-12-13
DOI:
EISSN:
2470-0029
ISSN:
2470-0010


Language:
English
Pubs id:
pubs:821715
UUID:
uuid:b457dea6-5ede-48f7-98dd-df17ed5e9bd4
Local pid:
pubs:821715
Source identifiers:
821715
Deposit date:
2018-02-02

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