Second-Order Cosmological Perturbations from Inflation
TLDR
In this article, the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution are investigated. But the results indicate that detecting the non-Gaussianity in the cosmic microwave background anisotropies emerging from the second-order calculation will be a challenge for the forthcoming satellite experiments.Abstract:
We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as well as for the second-order fluctuations of the background metric, provide the exact expression for the gauge-invariant curvature perturbation bispectrum produced during inflation in terms of the slow-roll parameters or, alternatively, in terms of the scalar spectral $n_S$ and and the tensor to adiabatic scalar amplitude ratio $r$. The bispectrum represents a specific non-Gaussian signature of fluctuations generated by quantum oscillations during slow-roll inflation. However, our findings indicate that detecting the non-Gaussianity in the cosmic microwave background anisotropies emerging from the second-order calculation will be a challenge for the forthcoming satellite experiments.read more
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Journal ArticleDOI
Seven-year wilkinson microwave anisotropy probe (wmap *) observations: cosmological interpretation
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Planck 2015 results. XX. Constraints on inflation
Peter A. R. Ade,Nabila Aghanim,Monique Arnaud,Frederico Arroja,M. Ashdown,J. Aumont,Carlo Baccigalupi,Mario Ballardini,A. J. Banday,R. B. Barreiro,Nicola Bartolo,E. Battaner,K. Benabed,Alain Benoit,A. Benoit-Lévy,J.-P. Bernard,Marco Bersanelli,P. Bielewicz,J. J. Bock,Anna Bonaldi,Laura Bonavera,J. R. Bond,Julian Borrill,François R. Bouchet,F. Boulanger,M. Bucher,Carlo Burigana,R. C. Butler,Erminia Calabrese,Jean-François Cardoso,A. Catalano,Anthony Challinor,A. Chamballu,R.-R. Chary,H. C. Chiang,P. R. Christensen,Sarah E. Church,David L. Clements,S. Colombi,L. P. L. Colombo,C. Combet,D. Contreras,F. Couchot,A. Coulais,B. P. Crill,A. Curto,F. Cuttaia,Luigi Danese,R. D. Davies,R. J. Davis,P. de Bernardis,A. de Rosa,G. de Zotti,Jacques Delabrouille,F.-X. Désert,Jose M. Diego,H. Dole,S. Donzelli,Olivier Doré,Marian Douspis,A. Ducout,X. Dupac,George Efstathiou,F. Elsner,Torsten A. Ensslin,H. K. Eriksen,James R. Fergusson,Fabio Finelli,Olivier Forni,M. Frailis,Aurelien A. Fraisse,E. Franceschi,A. Frejsel,Andrei V. Frolov,S. Galeotta,Silvia Galli,K. Ganga,C. Gauthier,M. Giard,Y. Giraud-Héraud,E. Gjerløw,J. González-Nuevo,Krzysztof M. Gorski,Serge Gratton,A. Gregorio,Alessandro Gruppuso,Jon E. Gudmundsson,Jan Hamann,Will Handley,F. K. Hansen,Duncan Hanson,D. L. Harrison,Sophie Henrot-Versille,C. Hernández-Monteagudo,D. Herranz,S. R. Hildebrandt,E. Hivon,Michael P. Hobson,W. A. Holmes +98 more
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Non-Gaussian features of primordial fluctuations in single field inflationary models
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Journal ArticleDOI
Planck 2013 results. XXII. Constraints on inflation
Peter A. R. Ade,Nabila Aghanim,Monique Arnaud,Frederico Arroja,Frederico Arroja,M. Ashdown,J. Aumont,Carlo Baccigalupi,Mario Ballardini,A. J. Banday,A. J. Banday,R. B. Barreiro,Nicola Bartolo,Nicola Bartolo,E. Battaner,K. Benabed,Alain Benoit,A. Benoit-Lévy,A. Benoit-Lévy,J.-P. Bernard,J.-P. Bernard,Marco Bersanelli,Marco Bersanelli,P. Bielewicz,P. Bielewicz,James J. Bock,Anna Bonaldi,Laura Bonavera,J. R. Bond,Julian Borrill,Julian Borrill,François R. Bouchet,Francois Boulanger,M. Bucher,Carlo Burigana,Carlo Burigana,R. C. Butler,Erminia Calabrese,Jean-François Cardoso,Jean-François Cardoso,Jean-François Cardoso,A. Catalano,A. Catalano,Anthony Challinor,A. Chamballu,A. Chamballu,A. Chamballu,R.-R. Chary,H. C. Chiang,H. C. Chiang,P. R. Christensen,Sarah E. Church,David L. Clements,S. Colombi,L. P. L. Colombo,L. P. L. Colombo,C. Combet,D. Contreras,F. Couchot,A. Coulais,B. P. Crill,A. Curto,A. Curto,F. Cuttaia,Luigi Danese,R. D. Davies,R. J. Davis,P. de Bernardis,A. de Rosa,G. de Zotti,G. de Zotti,Jacques Delabrouille,F.-X. Désert,Jose M. Diego,H. Dole,H. Dole,S. Donzelli,Olivier Doré,Marian Douspis,A. Ducout,A. Ducout,X. Dupac,George Efstathiou,F. Elsner,F. Elsner,Torsten A. Enßlin,H. K. Eriksen,James R. Fergusson,Fabio Finelli,Olivier Forni,Olivier Forni,M. Frailis,Aurelien A. Fraisse,E. Franceschi,A. Frejsel,Andrei V. Frolov,S. Galeotta,S. Galli,K. Ganga,C. Gauthier,C. Gauthier,M. Giard,M. Giard,Y. Giraud-Héraud,E. Gjerløw,J. González-Nuevo,J. González-Nuevo,Krzysztof M. Gorski,Krzysztof M. Gorski,Serge Gratton,A. Gregorio,A. Gregorio,Alessandro Gruppuso,Jon E. Gudmundsson,Jon E. Gudmundsson,Jon E. Gudmundsson,Jan Hamann,Jan Hamann,Will Handley,F. K. Hansen,Duncan Hanson,Duncan Hanson,Duncan Hanson,D. L. Harrison,Sophie Henrot-Versille,C. Hernández-Monteagudo,D. Herranz,S. R. Hildebrandt,E. Hivon,Michael P. Hobson,W. A. Holmes,Allan Hornstrup,W. Hovest,Zhiqi Huang,Kevin M. Huffenberger,G. Hurier,Andrew H. Jaffe,T. R. Jaffe,T. R. Jaffe,W. C. Jones,Mika Juvela,E. Keihänen,Reijo Keskitalo,J. B. Kim,Theodore Kisner,R. Kneissl,R. Kneissl,J. Knoche,Martin Kunz,Martin Kunz,Martin Kunz,Hannu Kurki-Suonio,Hannu Kurki-Suonio,Guilaine Lagache,Guilaine Lagache,Anne Lähteenmäki,Anne Lähteenmäki,J.-M. Lamarre,Anthony Lasenby,Massimiliano Lattanzi,Charles R. Lawrence,R. Leonardi,Julien Lesgourgues,Julien Lesgourgues,François Levrier,Antony Lewis,Michele Liguori,Michele Liguori,P. B. Lilje,M. Linden-Vørnle,M. López-Caniego,M. López-Caniego,Philip Lubin,Yin-Zhe Ma,Yin-Zhe Ma,J. F. Macías-Pérez,Gianmarco Maggio,Davide Maino,Davide Maino,N. Mandolesi,N. Mandolesi,A. Mangilli,A. Mangilli,Michele Maris,Peter G. Martin,E. Martínez-González,Silvia Masi,Sabino Matarrese,Sabino Matarrese,P. M. McGehee,Peter Meinhold,Alessandro Melchiorri,L. Mendes,A. Mennella,A. Mennella,M. Migliaccio,Subhabrata Mitra,Subhabrata Mitra,M.-A. Miville-Deschênes,M.-A. Miville-Deschênes,D. Molinari,D. Molinari,A. Moneti,L. Montier,L. Montier,Gianluca Morgante,Daniel J. Mortlock,Adam Moss,Moritz Münchmeyer,Dipak Munshi,J. A. Murphy,Pavel Naselsky,Federico Nati,Paolo Natoli,Paolo Natoli,Paolo Natoli,Calvin B. Netterfield,Hans Ulrik Nørgaard-Nielsen,F. Noviello,Dmitry Novikov,I. D. Novikov,I. D. Novikov,Carol Anne Oxborrow,F. Paci,L. Pagano,F. Pajot,Roberta Paladini,S. Pandolfi,Daniela Paoletti,Fabio Pasian,G. Patanchon,T. J. Pearson,Hiranya V. Peiris,O. Perdereau,L. Perotto,Francesca Perrotta,Valeria Pettorino,F. Piacentini,M. Piat,Elena Pierpaoli,Davide Pietrobon,Stéphane Plaszczynski,Etienne Pointecouteau,Etienne Pointecouteau,G. Polenta,G. Polenta,L. Popa,G. W. Pratt,G. Prézeau,Simon Prunet,J.-L. Puget,Jörg P. Rachen,Jörg P. Rachen,William T. Reach,Rafael Rebolo,Rafael Rebolo,M. Reinecke,Mathieu Remazeilles,Mathieu Remazeilles,Mathieu Remazeilles,C. Renault,A. Renzi,I. Ristorcelli,I. Ristorcelli,Graca Rocha,C. Rosset,M. Rossetti,M. Rossetti,G. Roudier,G. Roudier,G. Roudier,Michael Rowan-Robinson,Jose Alberto Rubino-Martin,Jose Alberto Rubino-Martin,Ben Rusholme,M. Sandri,D. Santos,M. Savelainen,M. Savelainen,Giorgio Savini,Douglas Scott,M. D. Seiffert,E. P. S. Shellard,Maresuke Shiraishi,Maresuke Shiraishi,Locke D. Spencer,V. Stolyarov,V. Stolyarov,V. Stolyarov,Radek Stompor,R. V. Sudiwala,R. A. Sunyaev,R. A. Sunyaev,D. Sutton,A.-S. Suur-Uski,A.-S. Suur-Uski,J.-F. Sygnet,J. A. Tauber,Luca Terenzi,Luca Terenzi,L. Toffolatti,L. Toffolatti,L. Toffolatti,M. Tomasi,M. Tomasi,Matthieu Tristram,Tiziana Trombetti,M. Tucci,J. Tuovinen,Luca Valenziano,Jussi Valiviita,Jussi Valiviita,B. Van Tent,P. Vielva,Fabrizio Villa,Lawrence A. Wade,Benjamin D. Wandelt,Benjamin D. Wandelt,Ingunn Kathrine Wehus,Ingunn Kathrine Wehus,Martin White,D. Yvon,Andrea Zacchei,J. P. Zibin,Andrea Zonca +324 more
TL;DR: In this article, the authors present the implications for cosmic inflation of the Planck measurements of the cosmic microwave background (CMB) anisotropies in both temperature and polarization based on the full Planck survey.
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