Quantum cosmic no-hair theorem and inflation

Kaloper, Nemanja; Scargill, James

doi:10.1103/physrevd.99.103514

Title: Quantum cosmic no-hair theorem and inflation

Journal Article · 13 May 2019 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.99.103514 · OSTI ID:1512331

Kaloper, Nemanja ^[1]; Scargill, James ^[1]

Univ. of California, Davis, CA (United States)

We consider implications of the quantum extension of the inflationary no-hair theorem. We show that when the quantum state of inflation is picked to ensure the validity of the effective field theory of fluctuations, it takes only O(10) e-folds of inflation to erase the effects of the initial distortions on the inflationary observables. Thus, the Bunch-Davies vacuum is a very strong quantum attractor during inflation. We also consider bouncing universes, where the initial conditions seem to linger much longer and the quantum “balding” by evolution appears to be less efficient.

View Journal Article

Cite

Export

Save

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE

Grant/Contract Number:: SC0009999; SC0019081

OSTI ID:: 1512331

Alternate ID(s):: OSTI ID: 1611319; OSTI ID: 1961847

Journal Information:: Physical Review. D., Vol. 99, Issue 10; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (61)

Trans-Planckian particle creation in cosmology and ultrahigh energy cosmic rays Starobinsky, A. A.; Tkachev, I. I. Journal of Experimental and Theoretical Physics Letters, Vol. 76, Issue 5 https://doi.org/10.1134/1.1520612	journal	September 2002
CMB in open inflation Linde, Andrei; Sasaki, Misao; Tanaka, Takahiro Physical Review D, Vol. 59, Issue 12 https://doi.org/10.1103/PhysRevD.59.123522	journal	May 1999
Trans-Planckian problem of inflationary cosmology Martin, Jérôme; Brandenberger, Robert H. Physical Review D, Vol. 63, Issue 12 https://doi.org/10.1103/PhysRevD.63.123501	journal	May 2001
Infrared stability of de Sitter space: Loop corrections to scalar propagators Marolf, Donald; Morrison, Ian A. Physical Review D, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevD.82.105032	journal	November 2010
Closed universes: their future evolution and final state* Barrow, J. D.; Tipler, F. J. Monthly Notices of the Royal Astronomical Society, Vol. 216, Issue 2 https://doi.org/10.1093/mnras/216.2.395	journal	September 1985
The closed-universe recollapse conjecture Barrow, J. D.; Galloway, G. J.; Tipler, F. J. Monthly Notices of the Royal Astronomical Society, Vol. 223, Issue 4 https://doi.org/10.1093/mnras/223.4.835	journal	December 1986
Quantum field theory in curved spacetime DeWitt, Bryce S. Physics Reports, Vol. 19, Issue 6 https://doi.org/10.1016/0370-1573(75)90051-4	journal	August 1975
Inflation, holography, and the choice of vacuum in de Sitter space Danielsson, Ulf H. Journal of High Energy Physics, Vol. 2002, Issue 07 https://doi.org/10.1088/1126-6708/2002/07/040	journal	July 2002
Towards the physical vacuum of cosmic inflation Jiang, Hongliang; Wang, Yi Physics Letters B, Vol. 760 https://doi.org/10.1016/j.physletb.2016.06.069	journal	September 2016
Pre-big-bang inflation requires fine-tuning Turner, Michael S.; Weinberg, Erick J. Physical Review D, Vol. 56, Issue 8 https://doi.org/10.1103/PhysRevD.56.4604	journal	October 1997
Signatures of short distance physics in the cosmic microwave background Kaloper, Nemanja; Kleban, Matthew; Lawrence, Albion Physical Review D, Vol. 66, Issue 12 https://doi.org/10.1103/PhysRevD.66.123510	journal	December 2002
Cosmological consequences of initial state entanglement Albrecht, Andreas; Bolis, Nadia; Holman, R. Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)093	journal	November 2014
Anisotropy in the chaotic inflationary universe Moss, Ian; Sahni, Varon Physics Letters B, Vol. 178, Issue 2-3 https://doi.org/10.1016/0370-2693(86)91488-7	journal	October 1986
Conditions for generating scale-invariant density perturbations Gratton, Steven; Khoury, Justin; Steinhardt, Paul J. Physical Review D, Vol. 69, Issue 10 https://doi.org/10.1103/PhysRevD.69.103505	journal	May 2004
Enhanced non-Gaussianity from excited initial states Holman, R.; Tolley, Andrew J. Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1475-7516/2008/05/001	journal	May 2008
Are inflationary predictions sensitive to very high energy physics? Burgess, Clifford P.; Cline, James M.; Lemieux, François Journal of High Energy Physics, Vol. 2003, Issue 02 https://doi.org/10.1088/1126-6708/2003/02/048	journal	February 2003
Naturalness in cosmological initial conditions Nitti, F.; Porrati, M.; Rombouts, J. -W. Physical Review D, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevD.72.063503	journal	September 2005
A Cyclic Model of the Universe Steinhardt, P. J. Science, Vol. 296, Issue 5572 https://doi.org/10.1126/science.1070462	journal	April 2002
On squeezed limits in single-field inflation. Part I Flauger, Raphael; Green, Daniel; Porto, Rafael A. Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08 https://doi.org/10.1088/1475-7516/2013/08/032	journal	August 2013
Cosmology with negative potentials Felder, Gary; Frolov, Andrei; Kofman, Lev Physical Review D, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevD.66.023507	journal	July 2002
Initial Conditions for Inflation Kaloper, Nemanja; Kleban, Matthew; Lawrence, Albion Journal of High Energy Physics, Vol. 2002, Issue 11 https://doi.org/10.1088/1126-6708/2002/11/037	journal	November 2002
Pre-big-bang requires the universe to be exponentially large from the very beginning Kaloper, Nemanja; Linde, Andrei; Bousso, Raphael Physical Review D, Vol. 59, Issue 4 https://doi.org/10.1103/PhysRevD.59.043508	journal	January 1999
Inhomogeneous anisotropic cosmology Kleban, Matthew; Senatore, Leonardo Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 10 https://doi.org/10.1088/1475-7516/2016/10/022	journal	October 2016
Decoupling in an expanding universe: backreaction barely constrains short distance effects in the cosmic microwave background Greene, Brian R.; Schalm, Koenraad; Shiu, Gary Journal of Cosmology and Astroparticle Physics, Vol. 2005, Issue 02 https://doi.org/10.1088/1475-7516/2005/02/001	journal	February 2005
Reconciliation of high energy scale models of inflation with Planck Ashoorioon, Amjad; Dimopoulos, Konstantinos; Sheikh-Jabbari, M. M. Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02 https://doi.org/10.1088/1475-7516/2014/02/025	journal	February 2014
Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant Wald, Robert M. Physical Review D, Vol. 28, Issue 8 https://doi.org/10.1103/PhysRevD.28.2118	journal	October 1983
Vacuum states in de Sitter space Allen, Bruce Physical Review D, Vol. 32, Issue 12 https://doi.org/10.1103/PhysRevD.32.3136	journal	December 1985
Beginning inflation in an inhomogeneous universe East, William E.; Kleban, Matthew; Linde, Andrei Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 09 https://doi.org/10.1088/1475-7516/2016/09/010	journal	September 2016
Is the Universe a Vacuum Fluctuation? Tryon, Edward P. Nature, Vol. 246, Issue 5433 https://doi.org/10.1038/246396a0	journal	December 1973
Cosmological implications of quantum entanglement in the multiverse Kanno, Sugumi Physics Letters B, Vol. 751 https://doi.org/10.1016/j.physletb.2015.10.050	journal	December 2015
Note on inflation and trans-Planckian physics Danielsson, Ulf H. Physical Review D, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevD.66.023511	journal	July 2002
Bounds on generic high-energy physics modifications to the primordial power spectrum from back-reaction on the metric Porrati, M. Physics Letters B, Vol. 596, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.06.090	journal	August 2004
Observational implications of cosmological event horizons Kaloper, Nemanja; Kleban, Matthew; Sorbo, Lorenzo Physics Letters B, Vol. 600, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.08.068	journal	October 2004
A critical review of classical bouncing cosmologies Battefeld, Diana; Peter, Patrick Physics Reports, Vol. 571 https://doi.org/10.1016/j.physrep.2014.12.004	journal	April 2015
Observational consequences of a landscape Freivogel, Ben; Kleban, Matthew; Martínez, María Rodríguez Journal of High Energy Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1126-6708/2006/03/039	journal	March 2006
On the initial condition of inflationary fluctuations Jiang, Hongliang; Wang, Yi; Zhou, Siyi Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04 https://doi.org/10.1088/1475-7516/2016/04/041	journal	April 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
Scale invariance in expanding and contracting universes from two-field models Tolley, Andrew J.; Wesley, Daniel H. Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 05 https://doi.org/10.1088/1475-7516/2007/05/006	journal	May 2007
Correlators, Feynman Diagrams, and Quantum No-hair in deSitter Spacetime Hollands, Stefan Communications in Mathematical Physics, Vol. 319, Issue 1 https://doi.org/10.1007/s00220-012-1653-2	journal	February 2013
Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation Schalm, Koenraad; Shiu, Gary; Schaar, Jan Pieter van der Journal of High Energy Physics, Vol. 2004, Issue 04 https://doi.org/10.1088/1126-6708/2004/04/076	journal	April 2004
Particle creation in de Sitter space Mottola, E. Physical Review D, Vol. 31, Issue 4 https://doi.org/10.1103/PhysRevD.31.754	journal	February 1985
Infrared stability of de Sitter QFT: Results at all orders Marolf, Donald; Morrison, Ian A. Physical Review D, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevD.84.044040	journal	August 2011
Symmetry constraints in inflation, α-vacua, and the three point function Shukla, Ashish; Trivedi, Sandip P.; Vishal, V. Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)102	journal	December 2016
New duality relating density perturbations in expanding and contracting Friedmann cosmologies Boyle, Latham A.; Steinhardt, Paul J.; Turok, Neil Physical Review D, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevD.70.023504	journal	July 2004
Quantum Field Theory in De Sitter Space: Renormalization by Point-Splitting Bunch, T. S.; Davies, P. C. W. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1700 https://doi.org/10.1098/rspa.1978.0060	journal	March 1978
Anisotropy in the chaotic inflationary universe Moss, Ian; Sahni, Varon Physics Letters B, Vol. 178, Issue 2-3 https://doi.org/10.1016/0370-2693(86)91488-7	journal	October 1986
Bounds on generic high-energy physics modifications to the primordial power spectrum from back-reaction on the metric Porrati, M. Physics Letters B, Vol. 596, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.06.090	journal	August 2004
Observational implications of cosmological event horizons Kaloper, Nemanja; Kleban, Matthew; Sorbo, Lorenzo Physics Letters B, Vol. 600, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.08.068	journal	October 2004
Cosmological implications of quantum entanglement in the multiverse Kanno, Sugumi Physics Letters B, Vol. 751 https://doi.org/10.1016/j.physletb.2015.10.050	journal	December 2015
Scale invariance in expanding and contracting universes from two-field models Tolley, Andrew J.; Wesley, Daniel H. Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 05 https://doi.org/10.1088/1475-7516/2007/05/006	journal	May 2007
Reconciliation of high energy scale models of inflation with Planck Ashoorioon, Amjad; Dimopoulos, Konstantinos; Sheikh-Jabbari, M. M. Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02 https://doi.org/10.1088/1475-7516/2014/02/025	journal	February 2014
Closed universes: their future evolution and final state* Barrow, J. D.; Tipler, F. J. Monthly Notices of the Royal Astronomical Society, Vol. 216, Issue 2 https://doi.org/10.1093/mnras/216.2.395	journal	September 1985
Effect of inflation on anisotropic cosmologies Jensen, Lars Gerhard; Stein-Schabes, Jaime A. Physical Review D, Vol. 34, Issue 4 https://doi.org/10.1103/physrevd.34.931	journal	August 1986
Primeval corrections to the CMB anisotropies Kaloper, Nemanja; Kaplinghat, Manoj Physical Review D, Vol. 68, Issue 12 https://doi.org/10.1103/physrevd.68.123522	journal	December 2003
The IR stability of de Sitter: Loop corrections to scalar propagators Marolf, Donald; Morrison, Ian A. arXiv https://doi.org/10.48550/arxiv.1006.0035	text	January 2010
Beginning inflation in an inhomogeneous universe East, William E.; Kleban, Matthew; Linde, Andrei arXiv https://doi.org/10.48550/arxiv.1511.05143	text	January 2015
Trans-Planckian Particle Creation in Cosmology and Ultra-High Energy Cosmic Rays Starobinsky, A. A.; Tkachev, I. I. arXiv https://doi.org/10.48550/arxiv.astro-ph/0207572	text	January 2002
Signatures of Short Distance Physics in the Cosmic Microwave Background Kaloper, Nemanja; Kleban, Matthew; Lawrence, Albion arXiv https://doi.org/10.48550/arxiv.hep-th/0201158	text	January 2002
Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation Schalm, Koenraad; Shiu, Gary; van der Schaar, Jan Pieter arXiv https://doi.org/10.48550/arxiv.hep-th/0401164	text	January 2004
Effective Field Theory Approach to Cosmological Initial Conditions: Self-Consistency Bounds and Non-Gaussianities Porrati, M. arXiv https://doi.org/10.48550/arxiv.hep-th/0409210	preprint	January 2004
Naturalness in Cosmological Initial Conditions Nitti, F.; Porrati, M.; Rombouts, J. -W. arXiv https://doi.org/10.48550/arxiv.hep-th/0503247	text	January 2005

Cited By (2)

de Sitter space as a Glauber-Sudarshan state Brahma, Suddhasattwa; Dasgupta, Keshav; Tatar, Radu Journal of High Energy Physics, Vol. 2021, Issue 2 https://doi.org/10.1007/jhep02(2021)104	journal	February 2021
Cosmological Trans-Planckian Conjectures are not Effective Burgess, C. P.; de Alwis, S. P.; Quevedo, F. arXiv https://doi.org/10.48550/arxiv.2011.03069	text	January 2020

Similar Records

Cosmic no-hair theorem in power-law inflation

Journal Article · 1992 · Physical Review, D (Particles Fields); (United States) · OSTI ID:7278138

Kitada, Y; Maeda, K

Power Law Inflation and the Cosmic No Hair Theorem in Brane World

Journal Article · 2006 · AIP Conference Proceedings · OSTI ID:20891772

Paul, B C; Beesham, A

Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture

Journal Article · 1989 · Phys. Rev. D; (United States) · OSTI ID:6141810

Maeda, K; Stein-Schabes, J A; Futamase, T

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Astronomy & Astrophysics
Physics
Inflation
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Cosmic inflation

Title: Quantum cosmic no-hair theorem and inflation

Citation Formats

References (61)

Cited By (2)

Similar Records

Related Subjects