Inflation in a scale-invariant universe

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

doi:10.1103/PhysRevD.97.123516

Inflation in a scale-invariant universe

Journal Article · Wed Jun 13 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.123516· OSTI ID:1437397

^[1]; ^[2]; ^[3]; Ross, Graham G. ^[1]

Univ. of Oxford, Oxford (United Kingdom)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
ETH Zurich, Zurich (Switzerland)

A scale-invariant universe can have a period of accelerated expansion at early times: inflation. We use a frame-invariant approach to calculate inflationary observables in a scale-invariant theory of gravity involving two scalar fields: the spectral indices, the tensor-to-scalar ratio, the level of isocurvature modes, and non-Gaussianity. We show that scale symmetry leads to an exact cancellation of isocurvature modes and that, in the scale symmetry–broken phase, this theory is well described by a single scalar-field theory. Lastly, ee find the predictions of this theory strongly compatible with current observations.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1437397

Alternate ID(s):: OSTI ID: 1454351

Report Number(s):: FERMILAB-PUB--18-079-T; arXiv:1802.06069; 1655609

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 12 Vol. 97; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (64)

The evolving Planck mass in classically scale-invariant theories Kannike, K.; Raidal, M.; Spethmann, C. Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)026	journal	April 2017
Agravity Salvio, Alberto; Strumia, Alessandro Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)080	journal	June 2014
Cosmology and the fate of dilatation symmetry Wetterich, C. Nuclear Physics B, Vol. 302, Issue 4 https://doi.org/10.1016/0550-3213(88)90193-9	journal	June 1988
Gauge-invariant second-order perturbations and non-Gaussianity from inflation Acquaviva, Viviana; Bartolo, Nicola; Matarrese, Sabino Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00550-9	journal	September 2003
Frame covariant nonminimal multifield inflation Karamitsos, Sotirios; Pilaftsis, Apostolos Nuclear Physics B, Vol. 927 https://doi.org/10.1016/j.nuclphysb.2017.12.015	journal	February 2018
General formula for the running of local fNL Byrnes, Christian T.; Gong, Jinn-Ouk Physics Letters B, Vol. 718, Issue 3 https://doi.org/10.1016/j.physletb.2012.11.052	journal	January 2013
Scale-independent inflation and hierarchy generation Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G. Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.036	journal	December 2016
Gauge coupling unification without leptoquarks Karananas, Georgios K.; Shaposhnikov, Mikhail Physics Letters B, Vol. 771 https://doi.org/10.1016/j.physletb.2017.05.065	journal	August 2017
Non-Gaussianity from inflation: theory and observations Bartolo, N.; Komatsu, E.; Matarrese, S. Physics Reports, Vol. 402, Issue 3-4 https://doi.org/10.1016/j.physrep.2004.08.022	journal	November 2004
Planck 2015 results : XIII. Cosmological parameters Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525830	journal	September 2016
Planck 2015 results : X. Diffuse component separation: Foreground maps Adam, R.; Ade, P. A. R.; Aghanim, N. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525967	journal	September 2016
Planck 2015 results : XVI. Isotropy and statistics of the CMB Ade, P. A. R.; Aghanim, N.; Akrami, Y. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201526681	journal	September 2016
Planck 2015 results : XXVI. The Second Ade, P. A. R.; Aghanim, N.; Argüeso, F. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201526914	journal	September 2016
Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201527418	journal	September 2016
Non-gaussian features of primordial fluctuations in single field inflationary models Maldacena, Juan Journal of High Energy Physics, Vol. 2003, Issue 05 https://doi.org/10.1088/1126-6708/2003/05/013	journal	May 2003
A single-field consistency relation for the three-point function Creminelli, Paolo; Zaldarriaga, Matias Journal of Cosmology and Astroparticle Physics, Vol. 2004, Issue 10 https://doi.org/10.1088/1475-7516/2004/10/006	journal	October 2004
A covariant approach to general field space metric in multi-field inflation Gong, Jinn-Ouk; Tanaka, Takahiro Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 03 https://doi.org/10.1088/1475-7516/2011/03/015	journal	March 2011
Erratum: A covariant approach to general field space metric in multi-field inflation Gong, Jinn-Ouk; Tanaka, Takahiro Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 02 https://doi.org/10.1088/1475-7516/2012/02/E01	journal	February 2012
Curvature perturbation in multi-field inflation with non-minimal coupling White, Jonathan; Minamitsuji, Masato; Sasaki, Misao Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07 https://doi.org/10.1088/1475-7516/2012/07/039	journal	July 2012
The inflationary bispectrum with curved field-space Elliston, Joseph; Seery, David; Tavakol, Reza Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11 https://doi.org/10.1088/1475-7516/2012/11/060	journal	November 2012
Non-minimal Inflationary Attractors Kallosh, Renata; Linde, Andrei Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10 https://doi.org/10.1088/1475-7516/2013/10/033	journal	October 2013
The squeezed limit of the bispectrum in multi-field inflation Kenton, Zachary; Mulryne, David J. Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10 https://doi.org/10.1088/1475-7516/2015/10/018	journal	October 2015
Adiabatic and entropy perturbations from inflation Gordon, Christopher; Wands, David; Bassett, Bruce A. Physical Review D, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevD.63.023506	journal	December 2000
Higgs-dilaton cosmology: From the early to the late Universe García-Bellido, Juan; Rubio, Javier; Shaposhnikov, Mikhail Physical Review D, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevD.84.123504	journal	December 2011
Primordial bispectrum from multifield inflation with nonminimal couplings Kaiser, David I.; Mazenc, Edward A.; Sfakianakis, Evangelos I. Physical Review D, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevD.87.064004	journal	March 2013
Correlating features in the primordial spectra Achúcarro, Ana; Gong, Jinn-Ouk; Palma, Gonzalo A. Physical Review D, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevD.87.121301	journal	June 2013
Higgs-Dilaton cosmology: Universality versus criticality Rubio, Javier; Shaposhnikov, Mikhail Physical Review D, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevD.90.027307	journal	July 2014
Cosmological attractors and initial conditions for inflation Carrasco, John Joseph M.; Kallosh, Renata; Linde, Andrei Physical Review D, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevD.92.063519	journal	September 2015
Living beyond the edge: Higgs inflation and vacuum metastability Bezrukov, Fedor; Rubio, Javier; Shaposhnikov, Mikhail Physical Review D, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevD.92.083512	journal	October 2015
Scale-invariant alternatives to general relativity. II. Dilaton properties Karananas, Georgios K.; Shaposhnikov, Mikhail Physical Review D, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevD.93.084052	journal	April 2016
Weyl current, scale-invariant inflation, and Planck scale generation Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G. Physical Review D, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevD.95.043507	journal	February 2017
No fifth force in a scale invariant universe Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G. Physical Review D, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevD.95.064038	journal	March 2017
Emergent scale symmetry: Connecting inflation and dark energy Rubio, Javier; Wetterich, Christof Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.063509	journal	September 2017
Frame-dependence of higher-order inflationary observables in scalar-tensor theories Karam, Alexandros; Pappas, Thomas; Tamvakis, Kyriakos Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.064036	journal	September 2017
Renormalizable, asymptotically free gravity without ghosts or tachyons Einhorn, Martin B.; Jones, D. R. Timothy Physical Review D, Vol. 96, Issue 12 https://doi.org/10.1103/PhysRevD.96.124025	journal	December 2017
CFT data and spontaneously broken conformal invariance Karananas, Georgios K.; Shaposhnikov, Mikhail Physical Review D, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevD.97.045009	journal	February 2018
Multifield Inflation after Planck: The Case for Nonminimal Couplings Kaiser, David I.; Sfakianakis, Evangelos I. Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.011302	journal	January 2014
Inflationary Prediction for Primordial Non-Gaussianity Lyth, David H.; Rodríguez, Yeinzon Physical Review Letters, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevLett.95.121302	journal	September 2005
Emergent spontaneous symmetry breaking and emergent symmetry restoration in rippling gravitational background Kurkov, Maxim A. The European Physical Journal C, Vol. 76, Issue 6 https://doi.org/10.1140/epjc/s10052-016-4178-6	journal	June 2016
Inflationary perturbations in no-scale theories Salvio, Alberto The European Physical Journal C, Vol. 77, Issue 4 https://doi.org/10.1140/epjc/s10052-017-4825-6	journal	April 2017
Agravity up to infinite energy Salvio, Alberto; Strumia, Alessandro The European Physical Journal C, Vol. 78, Issue 2 https://doi.org/10.1140/epjc/s10052-018-5588-4	journal	February 2018
Evolution of Non-Gaussianity in Multi-Scalar Field Models Elliston, Joseph; Mulrynes, David; Seery, David International Journal of Modern Physics A, Vol. 26, Issue 22 https://doi.org/10.1142/S0217751X11054280	journal	September 2011
Evolution of Non-Gaussianity in Multi-Scalar Field Models Elliston, Joseph; Mulryne, David; Seery, David International Journal of Modern Physics: Conference Series, Vol. 03 https://doi.org/10.1142/S2010194511001292	journal	January 2011
A General Analytic Formula for the Spectral Index of the Density Perturbations Produced during Inflation Sasaki, M.; Stewart, E. D. Progress of Theoretical Physics, Vol. 95, Issue 1 https://doi.org/10.1143/PTP.95.71	journal	January 1996
A covariant approach to general field space metric in multi-field inflation Gong, Jinn-Ouk; Tanaka, Takahiro arXiv https://doi.org/10.48550/arxiv.1101.4809	text	January 2011
Higgs-Dilaton Cosmology: From the Early to the Late Universe García-Bellido, Juan; Rubio, Javier; Shaposhnikov, Mikhail arXiv https://doi.org/10.48550/arxiv.1107.2163	text	January 2011
Curvature perturbation in multi-field inflation with non-minimal coupling White, Jonathan; Minamitsuji, Masato; Sasaki, Misao arXiv https://doi.org/10.48550/arxiv.1205.0656	text	January 2012
Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings Kaiser, David I.; Mazenc, Edward A.; Sfakianakis, Evangelos I. arXiv https://doi.org/10.48550/arxiv.1210.7487	text	January 2012
Correlating features in the primordial spectra Achúcarro, Ana; Gong, Jinn-Ouk; Palma, Gonzalo A. arXiv https://doi.org/10.48550/arxiv.1211.5619	text	January 2012
Planck 2015 results. XIII. Cosmological parameters Collaboration, Planck; Ade, P. A. R.; Aghanim, N. arXiv https://doi.org/10.48550/arxiv.1502.01589	text	January 2015
Emergent spontaneous symmetry breaking and emergent symmetry restoration in rippling gravitational background Kurkov, Maxim arXiv https://doi.org/10.48550/arxiv.1601.00622	text	January 2016
Scale invariant alternatives to general relativity. II. Dilaton properties Karananas, Georgios K.; Shaposhnikov, Mikhail arXiv https://doi.org/10.48550/arxiv.1603.01274	text	January 2016
Evolving Planck Mass in Classically Scale-Invariant Theories Kannike, K.; Raidal, M.; Spethmann, C. arXiv https://doi.org/10.48550/arxiv.1610.06571	text	January 2016
No fifth force in a scale invariant universe Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G. arXiv https://doi.org/10.48550/arxiv.1612.03157	text	January 2016
Gauge coupling unification without leptoquarks Karananas, Georgios K.; Shaposhnikov, Mikhail arXiv https://doi.org/10.48550/arxiv.1703.02964	text	January 2017
Inflationary Perturbations in No-Scale Theories Salvio, Alberto arXiv https://doi.org/10.48550/arxiv.1703.08012	text	January 2017
Agravity up to infinite energy Salvio, Alberto; Strumia, Alessandro arXiv https://doi.org/10.48550/arxiv.1705.03896	text	January 2017
Frame Covariant Nonminimal Multifield Inflation Karamitsos, Sotirios; Pilaftsis, Apostolos arXiv https://doi.org/10.48550/arxiv.1706.07011	text	January 2017
Frame-dependence of higher-order inflationary observables in scalar-tensor theories Karam, Alexandros; Pappas, Thomas; Tamvakis, Kyriakos arXiv https://doi.org/10.48550/arxiv.1707.00984	text	January 2017
Renormalizable, asymptotically free gravity without ghosts or tachyons Einhorn, Martin B.; Jones, D. R. Timothy arXiv https://doi.org/10.48550/arxiv.1710.03795	text	January 2017
Adiabatic and entropy perturbations from inflation Gordon, Christopher; Wands, David; Bassett, Bruce A. arXiv https://doi.org/10.48550/arxiv.astro-ph/0009131	text	January 2000
Non-Gaussian features of primordial fluctuations in single field inflationary models Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.astro-ph/0210603	text	January 2002
Non-Gaussianity from Inflation: Theory and Observations Bartolo, N.; Komatsu, E.; Matarrese, S. arXiv https://doi.org/10.48550/arxiv.astro-ph/0406398	text	January 2004
The inflationary prediction for primordial non-gaussianity Lyth, David H.; Rodriguez, Yeinzon arXiv https://doi.org/10.48550/arxiv.astro-ph/0504045	text	January 2005

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