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Title: 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, $$K_\mu$$, and a cosmological phase during which the universe expands and the Einstein-Hilbert effective action is formed. Maintaining exact Weyl invariance in the renormalised quantum theory is straightforward when renormalisation 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.

Authors:
 [1];  [2];  [3]
  1. Oxford U.
  2. Fermilab
  3. Oxford U., Theor. Phys.
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1423222
Report Number(s):
FERMILAB-PUB-18-008-T; OUTP-17-17P; arXiv:1801.07676
1649988
DOE Contract Number:
AC02-07CH11359
Resource Type:
Journal Article
Resource Relation:
Journal Name: TBD
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G. Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance. United States: N. p., 2018. Web.
Ferreira, Pedro G., Hill, Christopher T., & Ross, Graham G. Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance. United States.
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G. Tue . "Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance". United States. doi:. https://www.osti.gov/servlets/purl/1423222.
@article{osti_1423222,
title = {Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance},
author = {Ferreira, Pedro G. and Hill, Christopher T. and Ross, Graham G.},
abstractNote = {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, $K_\mu$, and a cosmological phase during which the universe expands and the Einstein-Hilbert effective action is formed. Maintaining exact Weyl invariance in the renormalised quantum theory is straightforward when renormalisation 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.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 23 00:00:00 EST 2018},
month = {Tue Jan 23 00:00:00 EST 2018}
}