Weyl current, scaleinvariant inflation, and Planck scale generation
Scalar fields, $$\phi$$ _{i}, can be coupled nonminimally to curvature and satisfy the general criteria: (i) the theory has no mass input parameters, including M _{P}=0; (ii) the $$\phi$$ _{i} have arbitrary values and gradients, but undergo a general expansion and relaxation to constant values that satisfy a nontrivial constraint, K($$\phi$$ _{i})=constant; (iii) this constraint breaks scale symmetry spontaneously, and the Planck mass is dynamically generated; (iv) there can be adequate inflation associated with slow roll in a scaleinvariant potential subject to the constraint; (v) the final vacuum can have a small to vanishing cosmological constant; (vi) large hierarchies in vacuum expectation values can naturally form; (vii) there is a harmless dilaton which naturally eludes the usual constraints on massless scalars. Finally, these models are governed by a global Weyl scale symmetry and its conserved current, K _{μ}. At the quantum level the Weyl scale symmetry can be maintained by an invariant specification of renormalized quantities.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Oxford (United Kingdom). Dept. of Physics
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics
 Publication Date:
 Report Number(s):
 FERMILABPUB16458T; arXiv:1610.09243
Journal ID: ISSN 24700010; PRVDAQ; 1495005
 Grant/Contract Number:
 AC0207CH11359
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1345633
 Alternate Identifier(s):
 OSTI ID: 1343347
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G.. Weyl current, scaleinvariant inflation, and Planck scale generation. United States: N. p.,
Web. doi:10.1103/PhysRevD.95.043507.
Ferreira, Pedro G., Hill, Christopher T., & Ross, Graham G.. Weyl current, scaleinvariant inflation, and Planck scale generation. United States. doi:10.1103/PhysRevD.95.043507.
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G.. 2017.
"Weyl current, scaleinvariant inflation, and Planck scale generation". United States.
doi:10.1103/PhysRevD.95.043507. https://www.osti.gov/servlets/purl/1345633.
@article{osti_1345633,
title = {Weyl current, scaleinvariant inflation, and Planck scale generation},
author = {Ferreira, Pedro G. and Hill, Christopher T. and Ross, Graham G.},
abstractNote = {Scalar fields, $\phi$i, can be coupled nonminimally to curvature and satisfy the general criteria: (i) the theory has no mass input parameters, including MP=0; (ii) the $\phi$i have arbitrary values and gradients, but undergo a general expansion and relaxation to constant values that satisfy a nontrivial constraint, K($\phi$i)=constant; (iii) this constraint breaks scale symmetry spontaneously, and the Planck mass is dynamically generated; (iv) there can be adequate inflation associated with slow roll in a scaleinvariant potential subject to the constraint; (v) the final vacuum can have a small to vanishing cosmological constant; (vi) large hierarchies in vacuum expectation values can naturally form; (vii) there is a harmless dilaton which naturally eludes the usual constraints on massless scalars. Finally, these models are governed by a global Weyl scale symmetry and its conserved current, Kμ. At the quantum level the Weyl scale symmetry can be maintained by an invariant specification of renormalized quantities.},
doi = {10.1103/PhysRevD.95.043507},
journal = {Physical Review D},
number = 4,
volume = 95,
place = {United States},
year = {2017},
month = {2}
}