String Theory In Curved Space Times
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String Theory In Curved Space Times
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Author : N Sánchez
language : en
Publisher: World Scientific
Release Date : 1998-05-30
String Theory In Curved Space Times written by N Sánchez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-30 with categories.
The main goal and impact of modern string theory is to provide a consistent quantum theory of gravity. This book provides an updated collection of original new developments and fundamental research in string theory in connection with gravity and physics at the Planck energy scale. Topics treated in this volume by pioneering researchers in the field include: classical and quantum string dynamics in strong gravitational fields, space-time singularities, black holes and cosmological backgrounds; particle and string scattering at the Planck energy scale; string cosmology and its observational consequences; the new features of multistrings and of quantum particle transmutation for strings in curved spacetimes. The book deals with (i) the several new methods developed to solve the highly nonlinear string dynamics in curved spactimes: approximative perturbative methods, asymptotic expansions, exact local expansions and exact global (over the whole world sheet) string solitonic solutions, (ii) the string energy momentum tensor and the equation of state for the string matter, the stretching of the string size in spacetimes with event horizons and near spacetime singularities, (iii) the canonical and semiclassical quantization of strings in curved spacetimes and the physical effects found for: the mass spectrum, structure of levels, scattering amplitudes, number operator and particle transmutation. Contents:String Theory in Cosmological Spacetimes (H J de Vega & N Sánchez)Evolution of a String Network in Backgrounds with Rolling Horizons (M Gasperini, M Giovannini, K A Meissner & G Veneziano)Particle Transmutation and Fermion Number Violation from the Scattering of Strings and Superstrings in Curved Spacetimes (H J de Vega, M Ramón Medrano & N Sánchez)Particle and String Scattering at the Planck Scale (C O Lousto & N Sánchez)Strings in Curved Spacetimes: The Null String Approach (H J de Vega & A Nicolaidis)Strings and Multi-Strings in Black Hole and Cosmological Spacetimes (A L Larsen & N Sánchez)Integrable Field Theories (C Destri & H J de Vega)Von Neumann and Shannon-Wehrl Entropy for Squeezed States and Cosmological Particle Production (M Gasperini & M Giovannini)Preheating and Reheating in Inflationary Cosmology: A Pedagogical Review (D Boyanovsky, H J de Vega, R Holman & J F J Salgado)Circular Strings and Multi-Strings in de Sitter and Anti de Sitter Spacetimes (H J de Vega, A L Larsen & N Sánchez)The Two-Dimensional Stringy Black Hole: A New Approach and a New Effect (H J de Vega, J Ramírez Mittelbrun, M Ramón Medrano & N Sánchez)Relic Gravitons from the Pre-Big Bang: What We Know and What We Do Not Know (M Gasperini)Classical Splitting of Fundamental Strings (H J de Vega, J Ramírez Mittelbrun, M Ramón Medrano & N Sánchez)Cosmic Strings and Black Holes (A L Larsen)Strings Next To and Inside Black Holes (H J de Vega & I L Egusquiza)String Dynamics in Cosmological and Black Hole Backgrounds: The Null String Expansion (C O Lousto & N Sánchez)The Black Hole: Scatterer, Absorber and Emitter of Particles (N Sánchez)Une Approche du Temps et des Fréquences. Vers le Mètre et la Seconde (S Débarbat & M Granveaud) Readership: Researchers in string theory, cosmology and particle physics. Keywords:String;Superstring;Inflation;Cosmology;Black Hole
Aspects Of Quantum Field Theory In Curved Spacetime
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Author : Stephen A. Fulling
language : en
Publisher: Cambridge University Press
Release Date : 1989-08-24
Aspects Of Quantum Field Theory In Curved Spacetime written by Stephen A. Fulling 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 1989-08-24 with Mathematics categories.
The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.
String Gravity And Physics At The Planck Energy Scale
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Author : Norma G. Sànchez
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
String Gravity And Physics At The Planck Energy Scale written by Norma G. Sànchez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The contemporary trends in the quantum unification of all interactions including gravity motivate this Course. The main goal and impact of modern string theory is to provide a consistent quantum theory of gravity. This, Course is intended to provide an updated understanding of the last developments and current problems of string theory in connection with gravity and the physics at the Planck energy scale. It is also the aim of this Course to discuss fundamental problems of quantum gravity in the present-day context irrespective of strings or any other models. Emphasis is given to the mutual impact of string theory, gravity and cosmology, within a deep a well defined programme, which provides, in addition, a careful interdisciplinarity. Since the most relevant new physics provided by strings concerns the quantization of gravity, we must, at least, understand string quantization in curved space-times to start. Curved space-times, besides their evident relevance m classical gravitation, are also important at energies of the order of the Planck scale. At the Planck energy, gravitational interactions are at least as important as the rest and can not be neglected anymore. Special care is taken here to provide the grounds of the different lines of research in competition (not just only one approach); this provides an excellent opportunity to learn about the real state of the discipline, and to learn it in a critical way.
Quantum Mechanics In Curved Space Time
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Author : Jurgen Audretsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Mechanics In Curved Space Time written by Jurgen Audretsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.
100 Years Of Relativity Space Time Structure Einstein And Beyond
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Author : Abhay Ashtekar
language : en
Publisher: World Scientific
Release Date : 2005-11-22
100 Years Of Relativity Space Time Structure Einstein And Beyond written by Abhay Ashtekar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-22 with Science categories.
Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
String Quantum Gravity And Physics At The Planck Energy Scale
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Author : Normalized Sanchez
language : en
Publisher:
Release Date : 1993
String Quantum Gravity And Physics At The Planck Energy Scale written by Normalized Sanchez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with SCIENCE categories.
Classical Measurements In Curved Space Times
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Author : Fernando de Felice
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-29
Classical Measurements In Curved Space Times written by Fernando de Felice 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 2010-07-29 with Science categories.
The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.
Introduction To The Relativistic String Theory
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Author : Boris Mikha?lovich Barbashov
language : en
Publisher: World Scientific
Release Date : 1990
Introduction To The Relativistic String Theory written by Boris Mikha?lovich Barbashov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
This book presents a systematic and detailed account of the classical and quantum theory of the relativistic string and some of its modifications. Main attention is paid to the first-quantized string theory with possible applications to the string models of hadrons as well as to the superstring approach to unifications of all the fundamental interactions in the elementary particle physics and to the ?cosmic? strings. Some new aspects are provided such as the consideration of the string in an external electromagnetic field and in the space-time of constant curvature (the de Sitter universe), the relativistic string loaded by point-like masses and the Cartan method for describing the classical string dynamics. The relativistic membranes and p-branes are also considered briefly. The book is sufficiently self-contained and can be considered as an introduction to this new and fast developing branch of the elementary particle physics.
String Quantum Gravity And Physics At The Planck Energy Scale International Workshop On Theoretical Physics
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Author : Antonino Zichichi
language : en
Publisher: World Scientific
Release Date : 1993-06-30
String Quantum Gravity And Physics At The Planck Energy Scale International Workshop On Theoretical Physics written by Antonino Zichichi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-30 with categories.
The papers in this volume provide an updated status of the last developments and current problems in string theory in connection with gravity and the physics at the Planck scale. This volume also contains excellent discussions on fundamental problems of quantum gravity and the physics at the Planck energy scale in the present-day context, irrespective of strings or any other models.
Extra Dimensions In Space And Time
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Author : Itzhak Bars
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-04
Extra Dimensions In Space And Time written by Itzhak Bars and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-04 with Science categories.
In physics, the idea of extra spatial dimensions originates from Nordstöm’s 5-dimensional vector theory in 1914, followed by Kaluza-Klein theory in 1921, in an effort to unify general relativity and electromagnetism in a 5 dimensional space-time (4 dimensions for space and 1 for time). Kaluza–Klein theory didn’t generate enough interest with physicist for the next five decades, due to its problems with inconsistencies. With the advent of supergravity theory (the theory that unifies general relativity and supersymmetry theories) in late 1970’s and eventually, string theories (1980s) and M-theory (1990s), the dimensions of space-time increased to 11 (10-space and 1-time dimension). There are two main features in this book that differentiates it from other books written about extra dimensions: The first feature is the coverage of extra dimensions in time (Two Time physics), which has not been covered in earlier books about extra dimensions. All other books mainly cover extra spatial dimensions. The second feature deals with level of presentation. The material is presented in a non-technical language followed by additional sections (in the form of appendices or footnotes) that explain the basic equations and formulas in the theories. This feature is very attractive to readers who want to find out more about the theories involved beyond the basic description for a layperson. The text is designed for scientifically literate non-specialists who want to know the latest discoveries in theoretical physics in a non-technical language. Readers with basic undergraduate background in modern physics and quantum mechanics can easily understand the technical sections. Part I starts with an overview of the Standard Model of particles and forces, notions of Einstein’s special and general relativity, and the overall view of the universe from the Big Bang to the present epoch, and covers Two-Time physics. 2T-physics has worked correctly at all scales of physics, both macroscopic and microscopic, for which there is experimental data so far. In addition to revealing hidden information even in familiar "everyday" physics, it also makes testable predictions in lesser known physics regimes that could be analyzed at the energy scales of the Large Hadron Collider at CERN or in cosmological observations." Part II of the book is focused on extra dimensions of space. It covers the following topics: The Popular View of Extra Dimensions, Einstein and the Fourth Dimension, Traditional Extra Dimensions, Einstein's Gravity, The Theory Formerly Known as String, Warped Extra Dimensions, and How Do We Look For Extra Dimensions?