Delta N Formalism In Cosmological Perturbation Theory

Author : Ali Akbar Abolhasani,Hassan Firouzjahi,Atsushi Naruko,Misao Sasaki
Publisher : World Scientific
Page : 182 pages
File Size : 40,6 Mb
Release : 2019-01-30
Category : Science
ISBN : 9789813238770

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Delta N Formalism In Cosmological Perturbation Theory by Ali Akbar Abolhasani,Hassan Firouzjahi,Atsushi Naruko,Misao Sasaki Pdf

Early Universe cosmology is an active area of research and cosmic inflation is a pillar of modern cosmology. Among predictions of inflation, observationally the most important one is the generation of cosmological perturbations from quantum vacuum fluctuations that source all inhomogeneous structures in the Universe, not to mention the large-scale structures such as clusters of galaxies.Cosmological perturbation theory is the basic tool to study the perturbations generated from inflation. There are a few different approaches to primordial cosmological perturbations. In the conventional approach one perturbs the field equations and after quantizing the perturbations by the use of the corresponding action, one calculates the power spectrum of cosmological observables. This approach extends to higher order perturbations such as bispectrum etc., but the analysis becomes increasingly difficult.The delta N formalism, the topic of this book, is an alternative approach. The novelty of this approach is that, under the condition that the scale of interest is very large so that the spatial derivatives may be ignored in the dynamics, it can be applied to all orders in perturbation theory and has a rigorous foundation in general relativity. Thanks to the fact that one can evaluate perturbations with only the knowledge of background solutions, it is proved to be much easier than the conventional approach in evaluating higher order effects in many cases.

Author : Anonim
Publisher : ScholarlyEditions
Page : 4696 pages
File Size : 42,7 Mb
Release : 2012-01-09
Category : Science
ISBN : 9781464963681

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Issues in Astronomy and Astrophysics: 2011 Edition by Anonim Pdf

Issues in Astronomy and Astrophysics / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Astronomy and Astrophysics. The editors have built Issues in Astronomy and Astrophysics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Astronomy and Astrophysics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Astronomy and Astrophysics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Dmitry S. Gorbunov,V. A. Rubakov
Publisher : World Scientific
Page : 504 pages
File Size : 43,9 Mb
Release : 2011
Category : Science
ISBN : 9789814322225

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Introduction to the Theory of the Early Universe by Dmitry S. Gorbunov,V. A. Rubakov Pdf

This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.

Author : Ruth Durrer
Publisher : Unknown
Page : 131 pages
File Size : 50,8 Mb
Release : 1994
Category : Electronic
ISBN : 2884491112

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Gauge Invariant Cosmological Perturbation Theory by Ruth Durrer Pdf

Author : Eleftherios Papantonopoulos
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 51,8 Mb
Release : 2005-01-07
Category : Science
ISBN : 3540227121

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The Physics of the Early Universe by Eleftherios Papantonopoulos Pdf

The Physics of the Early Universe is an edited and expanded version of the lectures given at a recent summer school of the same name. Its aim is to present an advanced multi-authored textbook that meets the needs of both postgraduate students and young researchers interested in, or already working on, problems in cosmology and general relativity, with emphasis on the early universe. A particularly strong feature of the present work is the constructive-critical approach to the present mainstream theories, the careful assessment of some alternative approaches, and the overall balance between theoretical and observational considerations. As such, this book will also benefit experienced scientists and nonspecialists from related areas of research.

Author : James N. Fry,J. Robert Buchler,Henry E. Kandrup
Publisher : Unknown
Page : 176 pages
File Size : 44,5 Mb
Release : 2001
Category : Cosmology
ISBN : UVA:X004419818

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The Onset of Nonlinearity in Cosmology by James N. Fry,J. Robert Buchler,Henry E. Kandrup Pdf

"Comprises the proceedings of a conference entitled the 15th Florida Workshop in Nonlinear Astronomy and Physics: the Onset of Nonlinearity in Cosmology, held during February 17-19, 2000, in Gainesville, Florida"--Page [v].

Author : Bryce Seligman DeWitt
Publisher : Unknown
Page : 300 pages
File Size : 46,7 Mb
Release : 1955
Category : Perturbation (Quantum dynamics)
ISBN : STANFORD:36105046490475

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The Operator Formalism in Quantum Pertubation Theory by Bryce Seligman DeWitt Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 2019-10-31
Category : Electronic
ISBN : 981327669X

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Introduction to the Theory of the Early Universe by Anonim Pdf

Author : Chervon Sergei,Fomin Igor,Yurov Artyom,Yurov Valerian
Publisher : World Scientific
Page : 288 pages
File Size : 47,8 Mb
Release : 2019-04-29
Category : Science
ISBN : 9789811205095

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Scalar Field Cosmology by Chervon Sergei,Fomin Igor,Yurov Artyom,Yurov Valerian Pdf

This monograph discusses cosmological inflation and provides exact and slow roll solutions. It also reviews new and advanced approaches of exact solutions construction with canonical scalar fields, including application of generating functions methods, the superpotential and many others. This book presents the reduction of the Friedmann equation to the Abel equation, which is a very useful tool in cosmology. It offers new solutions and discusses its properties.Additionally, it touches upon the role of phantom scalar field cosmology and analyzes phantonical models. It describes brane cosmology with scalar fields, providing exact solutions construction using the superpotential method as well as Darboux transformations.This book provides detailed calculations throughout.

Author : Dmitry S. Gorbunov,Valerij A. Rubakov
Publisher : World Scientific Publishing Company
Page : 480 pages
File Size : 54,5 Mb
Release : 2011
Category : Science
ISBN : 9814390208

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Introduction to the Theory of the Early Universe by Dmitry S. Gorbunov,Valerij A. Rubakov Pdf

This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research. Available as a set with Introduction to the Theory of the Early Universe: Hot Big Bang Theory.

Author : Alexander Krasnitz,Yuri A Kubyshin,Robertus Potting,P Sa
Publisher : World Scientific
Page : 238 pages
File Size : 45,6 Mb
Release : 1999-08-13
Category : Electronic
ISBN : 9789814543576

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Exact Renormalization Group, The - Proceedings Of The Workshop by Alexander Krasnitz,Yuri A Kubyshin,Robertus Potting,P Sa Pdf

The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.

Author : Daniel Baumann,Liam McCallister
Publisher : Unknown
Page : 395 pages
File Size : 48,5 Mb
Release : 2015
Category : Inflationary universe
ISBN : 1316254216

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Inflation and String Theory by Daniel Baumann,Liam McCallister Pdf

This accessible volume provides a modern treatment of the cosmological and string-theoretic background necessary to understand inflation in string theory.

Author : Ermis Mitsou,Jaiyul Yoo
Publisher : Springer
Page : 139 pages
File Size : 55,7 Mb
Release : 2020-09-02
Category : Science
ISBN : 3030500381

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Tetrad Formalism for Exact Cosmological Observables by Ermis Mitsou,Jaiyul Yoo Pdf

This book presents a novel mathematical formalism, based on the tetrad formulation of differential geometry, for describing cosmological observables exactly and conveniently. It covers all the standard observables, i.e. distances, weak lensing, number counts and cosmic microwave background, and also includes a detailed derivation of general-relativistic matrix kinetic theory. All the fully nonlinear equations are derived in detail and the mathematical content is self-contained, so that readers require only a basic knowledge of general relativity. Moreover, the authors discuss several subtle issues that are usually overlooked in the literature and, in particular, issues that distinguish this formalism from the more approximative standard practice.

Author : Kaloian Lozanov
Publisher : Springer Nature
Page : 97 pages
File Size : 40,7 Mb
Release : 2020-09-15
Category : Science
ISBN : 9783030568108

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Reheating After Inflation by Kaloian Lozanov Pdf

This book provides a pedagogical introduction to the rapidly growing field of reheating after inflation. It begins with a brief review of the inflationary paradigm and a motivation for why the reheating of the universe is an integral part of inflationary cosmology. It then goes on to survey different aspects of reheating in a chronological manner, starting from the young, empty and cold universe at the end of inflation, and going all the way to the hot and thermal universe at the beginning of the Big Bang nucleosynthesis epoch. Different particle production mechanisms are considered with a focus on the non-perturbative excitation of scalar fields at the beginning of reheating (fermionic and vector fields are also discussed). This is followed by a review of the subsequent non-linear dynamical processes, such as soliton formation and relativistic turbulence. Various thermalization processes are also discussed. High energy physics embeddings of phenomenological models as well as observational implications of reheating such as gravitational waves generation and imprints on the cosmic microwave background are also covered.

Author : E. Gunzig,P. Nardone
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401117050

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The Origin of Structure in the Universe by E. Gunzig,P. Nardone Pdf

Edgard Gunzig and Pasquale Nardone RGGR Universite Libre de Bruxelles CP231 1050 Bruxelles Belgium The NATO Advanced Research Workshop on "The Origin of Structure in the Universe" was organized to bring together workers in various aspects of relativistic cosmology with the aim of assessing the present status of our knowledge on the formation and evolution of structure. As it happened, the meeting was particularly timely. Only two days before the 30 or so physicists from many countries gathered for a week at the Chateau du Pont d'Oye, in the forests of the southern Belgian province of Luxembourg, newspaper headlines all over the world announced the results of the analysis of the first full year of data from the Cosmic Background Observer Satellite (COBE). This long-awaited confirmation of the theoretically predicted anisotropy in the microwave background radiation opened a new era in observational cos mology. The realization of the new relevance of the subject of the workshop and the questions raised by the observational results, in addition to bring ing TV crews and newspaper journalists, naturally influenced and stimulated many discussions among the participants. The success of the meeting as usual is due to a combination of factors. Besides the high quality of the talks, discussions were encouraged by the warm atmosphere of the Chateau, for which we are grateful to Mme. Camille Orts, and its beautiful surroundings, not to mention the marvelous cuisine.