Weyl current, scale-invariant inflation, and Planck scale generation

Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G.

doi:10.1103/PhysRevD.95.043507

Title: Weyl current, scale-invariant inflation, and Planck scale generation

Journal Article · Wed Feb 08 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.043507· OSTI ID:1345633

Ferreira, Pedro G. ^[1]; Hill, Christopher T. ^[2]; Ross, Graham G. ^[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

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 scale-invariant 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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1345633

Alternate ID(s):: OSTI ID: 1343347

Report Number(s):: FERMILAB-PUB-16-458-T; arXiv:1610.09243; PRVDAQ; 1495005

Journal Information:: Physical Review D, Vol. 95, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 60 works

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