Inertial spontaneous symmetry breaking and quantum scale invariance

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 whi...

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Main Authors: Ferreira, PG, Hill, CT, Ross, GG
Format: Journal article
Language:English
Published: American Physical Society 2018
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author Ferreira, PG
Hill, CT
Ross, GG
author_facet Ferreira, PG
Hill, CT
Ross, GG
author_sort Ferreira, PG
collection OXFORD
description 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.
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spelling oxford-uuid:b457dea6-5ede-48f7-98dd-df17ed5e9bd42024-03-22T10:51:55ZInertial spontaneous symmetry breaking and quantum scale invarianceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b457dea6-5ede-48f7-98dd-df17ed5e9bd4EnglishSymplectic Elements at OxfordAmerican Physical Society2018Ferreira, PGHill, CTRoss, GGWeyl 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.
spellingShingle Ferreira, PG
Hill, CT
Ross, GG
Inertial spontaneous symmetry breaking and quantum scale invariance
title Inertial spontaneous symmetry breaking and quantum scale invariance
title_full Inertial spontaneous symmetry breaking and quantum scale invariance
title_fullStr Inertial spontaneous symmetry breaking and quantum scale invariance
title_full_unstemmed Inertial spontaneous symmetry breaking and quantum scale invariance
title_short Inertial spontaneous symmetry breaking and quantum scale invariance
title_sort inertial spontaneous symmetry breaking and quantum scale invariance
work_keys_str_mv AT ferreirapg inertialspontaneoussymmetrybreakingandquantumscaleinvariance
AT hillct inertialspontaneoussymmetrybreakingandquantumscaleinvariance
AT rossgg inertialspontaneoussymmetrybreakingandquantumscaleinvariance