# 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:

- Oxford U.
- Fermilab
- 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}

}

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