Noncommutative Cosmology
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Noncommutative Cosmology
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Author : Marcolli Matilde
language : en
Publisher: World Scientific
Release Date : 2017-12-26
Noncommutative Cosmology written by Marcolli Matilde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-26 with Science categories.
Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology. Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity. Contents: PrefaceAcknowledgmentsGravity and Matter in Noncommutative GeometryRenormalization Group Flows and Early Universe ModelsCosmic TopologyAlgebro-geometric Models in CosmologyMixmaster CosmologiesThe Spectral Action on Bianchi IX CosmologiesFractal and Multifractal Structures in CosmologyNoncommutative Quantum CosmologyBibliography Readership: Graduate students and researchers in mathematical physics and theoretical cosmology. Keywords: Cosmology;Gravity;Particle Physics;GeometryReview: Key Features: While there are recent books that focus on applications of noncommutative geometry to particle physics models, there is presently no other book that focuses on applications to cosmology
Spectral Action In Noncommutative Geometry
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Author : Michał Eckstein
language : en
Publisher: Springer
Release Date : 2018-12-18
Spectral Action In Noncommutative Geometry written by Michał Eckstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-18 with Science categories.
What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries. The book serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.
Trends In Modern Cosmology
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Author : Abraao Jesse Capistrano
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-06-07
Trends In Modern Cosmology written by Abraao Jesse Capistrano and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-07 with Science categories.
The modern cosmology has been turned into an outstanding field of active research through the years. Today, we have more scientific data in modern cosmology than we could get rid of it, which makes the present days an exciting era for scientific knowledge. "Trends in Modern Cosmology" invites the reader to tackle the big questions of the universe from cultural aspects of cosmology and its influence on arts, philosophy, and politics to more specialized technical advances in the field as the physics of dark sector, black holes, galaxies, large structure formation, and particles. In fact, it reveals our endless searching for the better understanding of the universe as a legacy of knowledge for next generations.
Aspects Of Today S Cosmology
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Author : Antonio Alfonso-Faus
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-09-09
Aspects Of Today S Cosmology written by Antonio Alfonso-Faus and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Science categories.
This book presents some aspects of the cosmological scientific odyssey that started last century. The chapters vary with different particular works, giving a versatile picture. It is the result of the work of many scientists in the field of cosmology, in accordance with their expertise and particular interests. Is a collection of different research papers produced by important scientists in the field of cosmology. A sample of the great deal of efforts made by the scientific community, trying to understand our universe. And it has many challenging subjects, like the possible doomsday to be confirmed by the next decade of experimentation. May be we are now half way in the life of the universe. Many more challenging subjects are not present here: they will be the result of further future work. Among them, we have the possibility of cyclic universes, and the evidence for the existence of a previous universe.
Geometric Algebraic And Topological Methods For Quantum Field Theory
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Author : Sylvie Payche
language : en
Publisher: World Scientific
Release Date : 2014
Geometric Algebraic And Topological Methods For Quantum Field Theory written by Sylvie Payche and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory. This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
Geometric Algebraic And Topological Methods For Quantum Field Theory
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Author : Alexander Cardona
language : en
Publisher: World Scientific
Release Date : 2013-11-15
Geometric Algebraic And Topological Methods For Quantum Field Theory written by Alexander Cardona and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-15 with Mathematics categories.
Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory. This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists. Contents:Lectures:Spectral Geometry (B Iochum)Index Theory for Non-compact G-manifolds (M Braverman and L Cano)Generalized Euler Characteristics, Graph Hypersurfaces, and Feynman Periods (P Aluffi)Gravitation Theory and Chern-Simons Forms (J Zanelli)Noncommutative Geometry Models for Particle Physics (M Marcolli)Noncommutative Spacetimes and Quantum Physics (A P Balachandran)Integrability and the AdS/CFT Correspondence (M Staudacher)Compactifications of String Theory and Generalized Geometry (M Graña and H Triendl)Short Communications:Groupoids and Poisson Sigma Models with Boundary (A Cattaneo and I Contreras)A Survey on Orbifold String Topology (A Angel)Grothendieck Ring Class of Banana and Flower Graphs (P Morales-Almazán)On the Geometry Underlying a Real Lie Algebra Representation (R Vargas Le-Bert) Readership: Researchers in geometry and topology, mathematical physics. Keywords:Geometry;Topology;Geometric Methods;Quantum Field Theory;Renormalization;Index Theory;Noncommutative Geometry;Quantization;String Theory;Key Features:Unique style aimed at a mixed readership of mathematicians and physicistsIdeal for self-study or use in advanced courses or seminars
Neutrino Cosmology
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Author : Julien Lesgourgues
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21
Neutrino Cosmology written by Julien Lesgourgues and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Science categories.
The role that neutrinos have played in the evolution of the Universe is the focus of one of the most fascinating research areas that has stemmed from the interplay between cosmology, astrophysics and particle physics. In this self-contained book, the authors bring together all aspects of the role of neutrinos in cosmology, spanning from leptogenesis to primordial nucleosynthesis, their role in CMB and structure formation, to the problem of their direct detection. The book starts by guiding the reader through aspects of fundamental neutrino physics, such as the standard cosmological model and the statistical mechanics in the expanding Universe, before discussing the history of neutrinos in chronological order from the very early stages until today. This timely book will interest graduate students and researchers in astrophysics, cosmology and particle physics, who work with either a theoretical or experimental focus.
Topics In Noncommutative Integrable Field Theories And Holographic Brane World Cosmology
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Author : Liuba Mazzanti
language : en
Publisher:
Release Date : 2007
Topics In Noncommutative Integrable Field Theories And Holographic Brane World Cosmology written by Liuba Mazzanti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Gravitation And Cosmology
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Author : Francisco S. Guzmán Murillo
language : en
Publisher: AIP Conference Proceedings (Nu
Release Date : 2008-12-11
Gravitation And Cosmology written by Francisco S. Guzmán Murillo and has been published by AIP Conference Proceedings (Nu this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-11 with Science categories.
The 3rd International Meeting on Gravitation and Cosmology was devoted to several topics of current interest in Modern Cosmology, Astrophysics and Gravity, with emphasis on hybrid models of dark energy and dark matter, as well as brane worlds. It also included presentations of current research conducted mainly by Cuban, Mexican, as well as North American experts in these fields.
Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski Proceedings Of 2002 International Conference
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Author : Bogdan Mielnik
language : en
Publisher: World Scientific
Release Date : 2006-08-10
Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski Proceedings Of 2002 International Conference written by Bogdan Mielnik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-10 with Science categories.
One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles — resembling monk's calligraphy — as well as a collection of oil paintings.As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the “heavenly” and “hyper-heavenly” equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al.A tribute to Plebański's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.