Weyl current, scaleinvariant inflation, and Planck scale generation
Abstract
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:
 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:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1345633
 Alternate Identifier(s):
 OSTI ID: 1343347
 Report Number(s):
 FERMILABPUB16458T; arXiv:1610.09243
Journal ID: ISSN 24700010; PRVDAQ; 1495005
 Grant/Contract Number:
 AC0207CH11359
 Resource Type:
 Journal Article: 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)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G. Weyl current, scaleinvariant inflation, and Planck scale generation. United States: N. p., 2017.
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. Wed .
"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 = {Wed Feb 08 00:00:00 EST 2017},
month = {Wed Feb 08 00:00:00 EST 2017}
}
Web of Science

Nonlinear realization and Weyl scale invariant p=2 brane
The action of Weyl scale invariant p=2 brane which breaks the target superWeyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The dual form action for the Weyl scale invariant supersymmetric D2 brane is also constructed. The interactions of localized matter fields on the brane with the NambuGoldstone fields associated with the breaking of the symmetries in the superspace and one spatial translation directions are obtained through the Cartan oneforms of the Coset structures. The covariant derivatives for the localized matter fields are also obtainedmore » 
Dynamics of the Weyl scale invariant nonBPS p = 3 brane
In this paper a Weyl scaleinvariant p = 3brane scenario is introduced, with the brane embedded in a higherdimensional bulk space with N = 1, 5D SuperWeyl symmetry. Its action, which describes its long wave oscillation modes into the ambient superspace and breaks the target symmetry down to the lower dimensional Weyl W(1, 3) symmetry, is constructed by the approach of coset method. 
Inflation with a Planckscale frequency cutoff
The implementation of a Planckscale high frequency and short wavelength cutoff in quantum theories on expanding backgrounds may have potentially nontrivial implications, such as the breaking of local Lorentz invariance and the existence of a yet unknown mechanism for the creation of vacuum modes. In scenarios where inflation begins close to the cutoff scale, these effects could have observable consequences as transPlanckian modes are redshifted to cosmological scales. In close analogy with similar studies of Hawking radiation, a simple theory of a minimally coupled scalar field in de Sitter space is studied, with a high frequency cutoff imposed by amore » 
Low and high scale MSSM inflation, gravitational waves and constraints from Planck
In this paper we will analyze generic predictions of an inflectionpoint model of inflation with Hubbleinduced corrections and study them in light of the Planck data. Typically inflectionpoint models of inflation can be embedded within Minimal Supersymmetric Standard Model (MSSM) where inflation can occur below the Planck scale. The flexibility of the potential allows us to match the observed amplitude of the TTpower spectrum of the cosmic microwave background radiation with low and high multipoles, spectral tilt, and virtually mild running of the spectral tilt, which can put a bound on an upper limit on the tensortoscalar ratio, r ≤more »