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This is a review of models of inflation and of their predictions for the primordial non-Gaussianity in the density perturbations which are thought to be at the origin of structures in the Universe. Non-Gaussianity emerges as a key…

Astrophysics · Physics 2009-11-10 N. Bartolo , E. Komatsu , S. Matarrese , A. Riotto

An inflationary model can be constrained by non-gaussian statistics as a parameter in the LSS (Large Scale Structure) distribution, and in the radiation of CMB (Cosmic Microwave Background) fluctuating temperature. Data on the CMB from…

General Relativity and Quantum Cosmology · Physics 2025-12-11 A. Agung , U. Sambiri , G. Hikmawan , F. P. Zen

As the quality of cosmological data continue to improve, it is natural to test the statistics of primordial fluctuations: are they Gaussian or non-Gaussian? I review a model which generates non-Gaussian adiabatic fluctuations from…

Astrophysics · Physics 2009-10-31 D. S. Salopek

Here we review the present status of modelling of and searching for primordial non-Gaussianity of cosmological perturbations. After introducing the models for non-Gaussianity generation during inflation, we discuss the search for…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-21 Marco Celoria , Sabino Matarrese

In the framework of inflationary models with non-vacuum initial states for cosmological perturbations, we study non-Gaussian signatures on the cosmic microwave background radiation produced by a broken-scale-invariant model which…

Astrophysics · Physics 2019-04-03 Alejandro Gangui

This is a pedagogical review on primordial non-Gaussianities from inflation models. We introduce formalisms and techniques that are used to compute such quantities. We review different mechanisms which can generate observable large…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-10 Xingang Chen

The presence of non--Gaussian features in the Cosmic Microwave Background (CMB) radiation maps represents one of the most long--awaited clues in the search for the actual structure of the primordial radiation, still needing confirmation.…

Astrophysics · Physics 2009-10-22 Alejandro Gangui

The most direct probe of non-Gaussian initial conditions has come from bispectrum measurements of temperature fluctuations in the Cosmic Microwave Background and of the matter and galaxy distribution at large scales. Such bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 M. Liguori , E. Sefusatti , J. R. Fergusson , E. P. S. Shellard

Deviations from Gaussian statistics of the cosmological density fluctuations, so-called primordial non-Gaussianities (NG), are one of the most informative fingerprints of the origin of structures in the universe. Indeed, they can probe…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Sébastien Renaux-Petel

We discuss how primordial non-Gaussianity of the curvature perturbation helps to constrain models of the early universe. Observations are consistent with Gaussian initial conditions, compatible with the predictions of the simplest models of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-26 Christian T. Byrnes

In the last few decades, advances in observational cosmology have given us a standard model of cosmology. We know the content of the universe to within a few percent. With more ambitious experiments on the way, we hope to move beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-26 Amit P. S. Yadav , Benjamin D. Wandelt

The redshift dependence of the abundance of galaxy clusters is very sensitive to the statistical properties of primordial density perturbations. It can thus be used to probe small deviations from Gaussian initial conditions. Such deviations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 A. M. M. Trindade , P. P. Avelino , P. T. P. Viana

Non-Gaussianity in the distribution of inflationary perturbations, measurable in statistics of the cosmic microwave background (CMB) and large scale structure fluctuations, can be used to probe non-trivial initial quantum states for these…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Joyce Byun , Nishant Agarwal , Rachel Bean , Richard Holman

The non-Gaussianity of inflationary perturbations, as encoded in the bispectrum (or 3-point correlator), has become an important additional way of distinguishing between inflation models, going beyond the linear Gaussian perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-23 Bartjan van Tent

The presence of multiple fields during inflation might seed a detectable amount of non-Gaussianity in the curvature perturbations, which in turn becomes observable in present data sets like the cosmic microwave background (CMB) or the large…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-27 Sebastian Dorn , Erandy Ramirez , Kerstin E. Kunze , Stefan Hofmann , Torsten A. Enßlin

Non-Gaussianity of the primordial density perturbations provides an important measure to constrain models of inflation. At cubic order the non-Gaussianity is captured by two parameters $\tau_{\rm NL}$ and $g_{\rm NL}$ that determine the…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-12 Chang Feng , Asantha Cooray , Joseph Smidt , Jon O'Bryan , Brian Keating , Donough Regan

Primordial non-Gaussianity encodes valuable information about the physics of inflation, including the spectrum of particles and interactions. Significant improvements in our understanding of non-Gaussanity beyond Planck require information…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-12 Jérôme Gleyzes , Roland de Putter , Daniel Green , Olivier Doré

Our current understanding of the Universe is established through the pristine measurements of structure in the cosmic microwave background (CMB) and the distribution and shapes of galaxies tracing the large scale structure (LSS) of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-15 P. Daniel Meerburg , Daniel Green , Muntazir Abidi , Mustafa A. Amin , Peter Adshead , Zeeshan Ahmed , David Alonso , Behzad Ansarinejad , Robert Armstrong , Santiago Avila , Carlo Baccigalupi , Tobias Baldauf , Mario Ballardini , Kevin Bandura , Nicola Bartolo , Nicholas Battaglia , Daniel Baumann , Chetan Bavdhankar , José Luis Bernal , Florian Beutler , Matteo Biagetti , Colin Bischoff , Jonathan Blazek , J. Richard Bond , Julian Borrill , François R. Bouchet , Philip Bull , Cliff Burgess , Christian Byrnes , Erminia Calabrese , John E. Carlstrom , Emanuele Castorina , Anthony Challinor , Tzu-Ching Chang , Jonas Chaves-Montero , Xingang Chen , Christophe Yeche , Asantha Cooray , William Coulton , Thomas Crawford , Elisa Chisari , Francis-Yan Cyr-Racine , Guido D'Amico , Paolo de Bernardis , Axel de la Macorra , Olivier Doré , Adri Duivenvoorden , Joanna Dunkley , Cora Dvorkin , Alexander Eggemeier , Stephanie Escoffier , Tom Essinger-Hileman , Matteo Fasiello , Simone Ferraro , Raphael Flauger , Andreu Font-Ribera , Simon Foreman , Oliver Friedrich , Juan Garcia-Bellido , Martina Gerbino , Vera Gluscevic , Garrett Goon , Krzysztof M. Gorski , Jon E. Gudmundsson , Nikhel Gupta , Shaul Hanany , Will Handley , Adam J. Hawken , J. Colin Hill , Christopher M. Hirata , Renée Hložek , Gilbert Holder , Dragan Huterer , Marc Kamionkowski , Kirit S. Karkare , Ryan E. Keeley , William Kinney , Theodore Kisner , Jean-Paul Kneib , Lloyd Knox , Savvas M. Koushiappas , Ely D. Kovetz , Kazuya Koyama , Benjamin L'Huillier , Ofer Lahav , Massimiliano Lattanzi , Hayden Lee , Michele Liguori , Marilena Loverde , Mathew Madhavacheril , Juan Maldacena , M. C. David Marsh , Kiyoshi Masui , Sabino Matarrese , Liam McAllister , Jeff McMahon , Matthew McQuinn , Joel Meyers , Mehrdad Mirbabayi , Azadeh Moradinezhad Dizgah , Pavel Motloch , Suvodip Mukherjee , Julian B. Muñoz , Adam D. Myers , Johanna Nagy , Pavel Naselsky , Federico Nati , Newburgh , Alberto Nicolis , Michael D. Niemack , Gustavo Niz , Andrei Nomerotski , Lyman Page , Enrico Pajer , Hamsa Padmanabhan , Gonzalo A. Palma , Hiranya V. Peiris , Will J. Percival , Francesco Piacentni , Guilherme L. Pimentel , Levon Pogosian , Chanda Prescod-Weinstein , Clement Pryke , Giuseppe Puglisi , Benjamin Racine , Radek Stompor , Marco Raveri , Mathieu Remazeilles , Gracca Rocha , Ashley J. Ross , Graziano Rossi , John Ruhl , Misao Sasaki , Emmanuel Schaan , Alessandro Schillaci , Marcel Schmittfull , Neelima Sehgal , Leonardo Senatore , Hee-Jong Seo , Huanyuan Shan , Sarah Shandera , Blake D. Sherwin , Eva Silverstein , Sara Simon , Anže Slosar , Suzanne Staggs , Glenn Starkman , Albert Stebbins , Aritoki Suzuki , Eric R. Switzer , Peter Timbie , Andrew J. Tolley , Maurizio Tomasi , Matthieu Tristram , Mark Trodden , Yu-Dai Tsai , Cora Uhlemann , Caterina Umilta , Alexander van Engelen , M. Vargas-Magaña , Abigail Vieregg , Benjamin Wallisch , David Wands , Benjamin Wandelt , Yi Wang , Scott Watson , Mark Wise , W. L. K. Wu , Zhong-Zhi Xianyu , Weishuang Xu , Siavash Yasini , Sam Young , Duan Yutong , Matias Zaldarriaga , Michael Zemcov , Gong-Bo Zhao , Yi Zheng , Ningfeng Zhu

Why is non-Gaussianity interesting? One of generic predictions from inflationary scenarios is that primordial fluctuations are exactly Gaussian in linear order; however, the non-linearity in the inflation will produce weak non-Gaussianity.…

Astrophysics · Physics 2017-08-23 Eiichiro Komatsu , David N. Spergel

We consider contributions to non-Gaussianity of the Cosmic Microwave Background (CMB) from remnants of post-inflationary phase transitions in the very early universe. Such signatures can optimistically be used to discover evidence of new…

Astrophysics · Physics 2010-01-11 Alessandra Silvestri , Mark Trodden
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