Delta N Formalism In Cosmological Perturbation Theory

Delta N Formalism In Cosmological Perturbation Theory PDF Author: Ali Akbar Abolhasani
Publisher: World Scientific
ISBN: 9813238771
Category : Science
Languages : en
Pages : 182

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Book Description
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.

Delta N Formalism In Cosmological Perturbation Theory

Delta N Formalism In Cosmological Perturbation Theory PDF Author: Ali Akbar Abolhasani
Publisher: World Scientific
ISBN: 9813238771
Category : Science
Languages : en
Pages : 182

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Book Description
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.

Issues in Astronomy and Astrophysics: 2011 Edition

Issues in Astronomy and Astrophysics: 2011 Edition PDF Author:
Publisher: ScholarlyEditions
ISBN: 1464963681
Category : Science
Languages : en
Pages : 4696

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Book Description
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/.

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory PDF Author: Valery A Rubakov
Publisher: World Scientific
ISBN: 9814390615
Category : Science
Languages : en
Pages : 504

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Book Description
This book accompanies another book by the same authors, 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.

Gauge Invariant Cosmological Perturbation Theory

Gauge Invariant Cosmological Perturbation Theory PDF Author: Ruth Durrer
Publisher:
ISBN: 9782884491112
Category :
Languages : en
Pages : 131

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Book Description


The Physics of the Early Universe

The Physics of the Early Universe PDF Author: Eleftherios Papantonopoulos
Publisher: Springer Science & Business Media
ISBN: 9783540227120
Category : Science
Languages : en
Pages : 322

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Book Description
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.

Scalar Field Cosmology

Scalar Field Cosmology PDF Author: Chervon Sergei
Publisher: World Scientific
ISBN: 9811205094
Category : Science
Languages : en
Pages : 288

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Book Description
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.

Physical Foundations of Cosmology

Physical Foundations of Cosmology PDF Author: Viatcheslav Mukhanov
Publisher: Cambridge University Press
ISBN: 1139447114
Category : Science
Languages : en
Pages : 454

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Book Description
Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Relativistic Cosmology

Relativistic Cosmology PDF Author: George F. R. Ellis
Publisher: Cambridge University Press
ISBN: 0521381150
Category : Science
Languages : en
Pages : 637

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Book Description
Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.

Reheating After Inflation

Reheating After Inflation PDF Author: Kaloian Lozanov
Publisher: Springer Nature
ISBN: 3030568105
Category : Science
Languages : en
Pages : 97

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Book Description
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.

The Operator Formalism in Quantum Pertubation Theory

The Operator Formalism in Quantum Pertubation Theory PDF Author: Bryce Seligman DeWitt
Publisher:
ISBN:
Category : Perturbation (Quantum dynamics)
Languages : en
Pages : 300

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Book Description