Open EFTs, IR effects & late-time resummations: systematic corrections in stochastic inflation

Burgess, C. P.; Holman, R.; Tasinato, G.

doi:10.1007/JHEP01(2016)153

Title: Open EFTs, IR effects & late-time resummations: systematic corrections in stochastic inflation

Journal Article · Tue Jan 26 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2016)153· OSTI ID:1393417

Burgess, C. P. ^[1]; Holman, R. ^[2]; Tasinato, G. ^[3]

McMaster Univ., Hamilton, ON (Canada). Physics & Astronomy; Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Carnegie Mellon Univ., Pittsburgh, PA (United States). Physics Dept.
Swansea Univ., Swansea (United Kingdom). Dept. of Physics

Though simple inflationary models describe the CMB well, their corrections are often plagued by infrared effects that obstruct a reliable calculation of late-time behaviour. Here we adapt to cosmology tools designed to address similar issues in other physical systems with the goal of making reliable late-time inflationary predictions. The main such tool is Open EFTs which reduce in the inflationary case to Stochastic Inflation plus calculable corrections. We apply this to a simple inflationary model that is complicated enough to have dangerous IR behaviour yet simple enough to allow the inference of late-time behaviour. We find corrections to standard Stochastic Inflationary predictions for the noise and drift, and we find these corrections ensure the IR finiteness of both these quantities. The late-time probability distribution, P(Φ), for super-Hubble field fluctuations are obtained as functions of the noise and drift and so these too are IR finite. We compare our results to other methods (such as large-N models) and find they agree when these models are reliable. In all cases we can explore in detail we find IR secular effects describe the slow accumulation of small perturbations to give a big effect: a significant distortion of the late-time probability distribution for the field. But the energy density associated with this is only of order H⁴ at late times and so does not generate a dramatic gravitational back-reaction.

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Research Organization:: McMaster Univ., Hamilton, ON (Canada)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Natural Sciences and Engineering Research Council of Canada (NSERC); National Science Foundation (NSF)

Grant/Contract Number:: FG03-91ER40682; FG02-91ER40682

OSTI ID:: 1393417

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 81 works

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A scenario for inflationary magnetogenesis without strong coupling problem Tasinato, Gianmassimo arXiv https://doi.org/10.48550/arxiv.1411.2803	text	January 2014
A few more comments on secularly growing loop corrections in strong electric fields Akhmedov, E. T.; Popov, F. K. arXiv https://doi.org/10.48550/arxiv.1412.1554	preprint	January 2014
Effective Field Theory out of Equilibrium: Brownian quantum fields Boyanovsky, D. arXiv https://doi.org/10.48550/arxiv.1503.00156	text	January 2015
Correlation Functions in Stochastic Inflation Vennin, Vincent; Starobinsky, Alexei A. arXiv https://doi.org/10.48550/arxiv.1506.04732	text	January 2015
Resonant origin for density fluctuations deep within the Sun: helioseismology and magneto-gravity waves Burgess, C. P.; Dzhalilov, N. S.; Rashba, T. I. arXiv https://doi.org/10.48550/arxiv.astro-ph/0304462	text	January 2003
Particle decay in inflationary cosmology Boyanovsky, D.; de Vega, H. J. arXiv https://doi.org/10.48550/arxiv.astro-ph/0406287	text	January 2004
Fermion Mass Generation in de Sitter Space Garbrecht, Bjorn; Prokopec, Tomislav arXiv https://doi.org/10.48550/arxiv.gr-qc/0602011	text	January 2006
Large mixing angle oscillations as a probe of the deep solar interior Burgess, C.; Dzhalilov, N. S.; Maltoni, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0209094	text	January 2002
Cornering Solar Radiative-Zone Fluctuations with KamLAND and SNO Salt Burgess, C. P.; Dzhalilov, N. S.; Maltoni, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0310366	text	January 2003
Neutrino Propagation in a Fluctuating Sun Burgess, C. P.; Michaud, D. arXiv https://doi.org/10.48550/arxiv.hep-ph/9606295	text	January 1996
Effective Field Theories and Inflation Burgess, C. P.; Cline, J.; Holman, R. arXiv https://doi.org/10.48550/arxiv.hep-th/0306079	text	January 2003
Scalar field instability in de Sitter space-time Dolgov, Alexander; Pelliccia, Diego N. arXiv https://doi.org/10.48550/arxiv.hep-th/0502197	text	January 2005
Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large? Weinberg, Steven arXiv https://doi.org/10.48550/arxiv.hep-th/0605244	text	January 2006
On the One Loop Corrections to Inflation II: The Consistency Relation Sloth, Martin S. arXiv https://doi.org/10.48550/arxiv.hep-th/0612138	text	January 2006

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Inflationary stochastic anomalies Pinol, Lucas; Renaux-Petel, Sébastien; Tada, Yuichiro Classical and Quantum Gravity, Vol. 36, Issue 7 https://doi.org/10.1088/1361-6382/ab097f	journal	March 2019
Thermal interpretation of infrared dynamics in de Sitter Rigopoulos, Gerasimos Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07 https://doi.org/10.1088/1475-7516/2016/07/035	journal	July 2016
Effective long wavelength scalar dynamics in de Sitter Moss, Ian; Rigopoulos, Gerasimos Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05 https://doi.org/10.1088/1475-7516/2017/05/009	journal	May 2017
Can all the infrared secular growth really be understood as increase of classical statistical variance? Tokuda, Junsei; Tanaka, Takahiro Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11 https://doi.org/10.1088/1475-7516/2018/11/022	journal	November 2018
Stochastic inflation beyond slow roll Pattison, Chris; Vennin, Vincent; Assadullahi, Hooshyar Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 07 https://doi.org/10.1088/1475-7516/2019/07/031	journal	July 2019
Boundary crossing in stochastic inflation with a critical number of fields Noorbala, Mahdiyar; Firouzjahi, Hassan Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.083510	journal	October 2019
Stochastic effects in anisotropic inflation Talebian, Alireza; Nassiri-Rad, Amin; Firouzjahi, Hassan Physical Review D, Vol. 101, Issue 2 https://doi.org/10.1103/physrevd.101.023524	journal	January 2020
Horizon feedback inflation Fairbairn, Malcolm; Markkanen, Tommi; Rodriguez Roman, David The European Physical Journal C, Vol. 78, Issue 4 https://doi.org/10.1140/epjc/s10052-018-5830-0	journal	April 2018
Decoherence, discord, and the quantum master equation for cosmological perturbations Hollowood, Timothy J.; McDonald, Jamie I. Physical Review D, Vol. 95, Issue 10 https://doi.org/10.1103/physrevd.95.103521	journal	May 2017
Decoherence, discord and the quantum master equation for cosmological perturbations Hollowood, T. J.; McDonald, J. I. arXiv https://doi.org/10.48550/arxiv.1701.02235	text	January 2017
The quantum Fokker-Planck equation of stochastic inflation Collins, Hael; Holman, Richard; Vardanyan, Tereza arXiv https://doi.org/10.48550/arxiv.1706.07805	text	January 2017
Inflationary stochastic anomalies Pinol, Lucas; Renaux-Petel, Sébastien; Tada, Yuichiro arXiv https://doi.org/10.48550/arxiv.1806.10126	text	January 2018
Stochastic inflation beyond slow roll Pattison, Chris; Vennin, Vincent; Assadullahi, Hooshyar arXiv https://doi.org/10.48550/arxiv.1905.06300	text	January 2019
Boundary Crossing in Stochastic Inflation with Critical Number of Fields Noorbala, Mahdiyar; Firouzjahi, Hassan arXiv https://doi.org/10.48550/arxiv.1907.13149	text	January 2019
Stochastic Effects in Anisotropic Inflation Talebian, Alireza; Nassiri-Rad, Amin; Firouzjahi, Hassan arXiv https://doi.org/10.48550/arxiv.1909.12773	text	January 2019

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