Inflation in a scale-invariant universe

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

doi:10.1103/PhysRevD.97.123516

Title: 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)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

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

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; PRVDAQ; 1655609; TRN: US1900321

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 31 works

Citation information provided by
Web of Science

References (64)

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NL</mml:mi></mml:mrow></mml:msub></mml:math> 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

Cited By (7)

Palatini inflation in models with an R ² term Antoniadis, I.; Karam, A.; Lykkas, A. Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11 https://doi.org/10.1088/1475-7516/2018/11/028	journal	November 2018
Inflation as a spontaneous symmetry breaking of Weyl symmetry Barnaveli, Alexander; Lucat, Stefano; Prokopec, Tomislav Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 01 https://doi.org/10.1088/1475-7516/2019/01/022	journal	January 2019
Nonminimal Coleman-Weinberg inflation with an R ² term Karam, Alexandros; Pappas, Thomas; Tamvakis, Kyriakos Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 02 https://doi.org/10.1088/1475-7516/2019/02/006	journal	February 2019
Scale-independent $R^{2}$ inflation Ferreira, Pedro G.; Hill, Christopher T.; Noller, Johannes Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.123516	journal	December 2019
Spectral Noncommutative Geometry Standard Model and all that Devastato, Agostino; Kurkov, Maxim; Lizzi, Fedele International Journal of Modern Physics A, Vol. 34, Issue 19 https://doi.org/10.1142/s0217751x19300102	journal	July 2019
Nonminimal Coleman--Weinberg Inflation with an $R^2$ term Karam, Alexandros; Pappas, Thomas; Tamvakis, Kyriakos arXiv https://doi.org/10.48550/arxiv.1810.12884	text	January 2018
Spectral Noncommutative Geometry, Standard Model and all that Devastato, Agostino; Kurkov, Maxim; Lizzi, Fedele arXiv https://doi.org/10.48550/arxiv.1906.09583	text	January 2019