String Theory In Curved Space Times

Author : N Sánchez
Publisher : World Scientific
Page : 500 pages
File Size : 54,7 Mb
Release : 1998-05-30
Category : Electronic
ISBN : 9789814545006

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String Theory in Curved Space Times by N Sánchez Pdf

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

Author : Stephen A. Fulling
Publisher : Cambridge University Press
Page : 332 pages
File Size : 40,6 Mb
Release : 1989-08-24
Category : Mathematics
ISBN : 0521377684

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Aspects of Quantum Field Theory in Curved Spacetime by Stephen A. Fulling Pdf

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.

Author : Norma G. Sànchez,Antonino Zichichi
Publisher : Springer Science & Business Media
Page : 546 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400902374

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String Gravity and Physics at the Planck Energy Scale by Norma G. Sànchez,Antonino Zichichi Pdf

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.

Author : Jurgen Audretsch,V. de Sabbata
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461538141

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Quantum Mechanics in Curved Space-Time by Jurgen Audretsch,V. de Sabbata Pdf

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.

Author : Abhay Ashtekar
Publisher : World Scientific
Page : 527 pages
File Size : 42,5 Mb
Release : 2005
Category : Science
ISBN : 9789812700988

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100 Years of Relativity by Abhay Ashtekar Pdf

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).

Author : Fernando de Felice,Donato Bini
Publisher : Cambridge University Press
Page : 326 pages
File Size : 45,8 Mb
Release : 2010-07-29
Category : Science
ISBN : 9781139491594

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Classical Measurements in Curved Space-Times by Fernando de Felice,Donato Bini Pdf

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.

Author : H J De Vega,Normalized Sanchez
Publisher : World Scientific
Page : 562 pages
File Size : 55,6 Mb
Release : 1995-02-28
Category : Electronic
ISBN : 9789814549585

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Second Paris Cosmology Colloquium - Proceedings Of The Second Paris Cosmology Colloquium Within The Framework Of The International School Of Astrophysics by H J De Vega,Normalized Sanchez Pdf

This book contains the lectures delivered at the Second Paris Cosmology Colloquium (second ‘Journée Cosmologie’) held at the Observatoire de Paris from June 2 to 4, 1994.[The first ‘Journée Cosmologie’ was held from May 18 to 19, 1993.]The purpose of these meetings is to cover selected topics of high current interest in the interplay between cosmology and fundamental physics and to allow easy and fruitful mutual contacts and communication. The main aim is to put in contact fundamental theoretical physics (including string theory) with real physical problems that arise in the study of the universe. The Paris Cosmology Colloguia are informal meetings which bring together physicists, astrophysicists and astronomers.Topics covered in the Second Paris Cosmology Colloquium included: fundamental strings and cosmic strings in cosmology, evolution out of the equilibrium of quantum fields in primordial cosmology, dark matter, as well as other subjects of high current interest related to black holes and quantum gravity.Sessions in the 1994 meeting lasted for three days leaving time for private discussions and for enjoying the beautiful parisian campus of the Observatoire de Paris (built on orders from Colbert and to plans by Claude Perrault from 1667 to 1672). Sessions took place at the ‘Salle du Conseil’ in the historic Perrault building under the portraits of Laplace, Le Verrier, Lalande, Arago, Delambre and Louis XIV.

Author : Andrew Zimmerman Jones
Publisher : John Wiley & Sons
Page : 387 pages
File Size : 42,8 Mb
Release : 2009-11-16
Category : Science
ISBN : 9780470467244

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String Theory For Dummies by Andrew Zimmerman Jones Pdf

A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

Author : George Francis Rayner Ellis,Ruth M. Williams
Publisher : Clarendon Press
Page : 394 pages
File Size : 42,9 Mb
Release : 2000
Category : Mathematics
ISBN : 0198506562

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Flat and Curved Space-times by George Francis Rayner Ellis,Ruth M. Williams Pdf

This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.

Author : Normalized Sanchez
Publisher : Unknown
Page : 590 pages
File Size : 43,7 Mb
Release : 1993
Category : SCIENCE
ISBN : 9814536652

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String Quantum Gravity and Physics at the Planck Energy Scale by Normalized Sanchez Pdf

Author : V. de Sabbata,Zhenjiu Zhang
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401124201

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Black Hole Physics by V. de Sabbata,Zhenjiu Zhang Pdf

In these last years Black hole Physics has developed rapidly both from theoretical and observational aspects: especially as regards quantum aspects many things must be clarified as for instance the processes occuring near mini black holes with spontaneous creation of particles that eventually lead to the evaporation of black hole. In these last stages probably a connection with string theory will appears. This field of research was subject of the NATO Adavanced study Institute on "Black Hole Physics" which was held at the Ettore Majorana Center for Scientific Culture in Erice (Sicily, th Italy) from May 12th through May 22 , 1991. It was at the same time the 12th Course of the International School of Cosmology and Gravitation. During this 12th Course, after recalling the starting point that is the concept of black hole in Newton theory, the lectures are gone through classical, quantum, cosmological and astrophysical aspects. Of course in order to understand fully the behaviour of these objects one is faced with a large number of broad areas related to different branches of physics. In fact have been widely treated not only classical aspects, thermodynamics, entropy, internal dynamics, cosmology, inflation and astrophysics but quantum behaviour involving creation of particles, Hawking rad iation, until the modern theory of strings and superstrings that claims the unification of all interactions. So the physics involved and discussed in the various lectures goes from cosmology and very early universe to that of elementary particles including neutrino physics.

Author : Stefan Gottlober,Jan P Mucket,Volker Muller
Publisher : World Scientific
Page : 374 pages
File Size : 54,9 Mb
Release : 1992-08-31
Category : Electronic
ISBN : 9789814554992

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Relativistic Astrophysics And Cosmology - Proceedings Of The Tenth Seminar by Stefan Gottlober,Jan P Mucket,Volker Muller Pdf

This book deals mainly with gravitational physics and its application to the very early universe and models for relativistic objects. It reviews our present knowledge about the origin and formation of large-scale structure, quantum cosmology and some problems of observational cosmology. Experimental tests of general relativity, gravitational wave astrophysics and string theory complete the lists of themes in this volume which contains invited and contributed papers.

Author : Christian Bär,Klaus Fredenhagen
Publisher : Springer
Page : 167 pages
File Size : 47,5 Mb
Release : 2009-09-18
Category : Science
ISBN : 9783642027802

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Quantum Field Theory on Curved Spacetimes by Christian Bär,Klaus Fredenhagen Pdf

After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.

Author : Antonino Zichichi
Publisher : World Scientific
Page : 606 pages
File Size : 41,9 Mb
Release : 1993-06-30
Category : Electronic
ISBN : 9789814553988

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String Quantum Gravity And Physics At The Planck Energy Scale - International Workshop On Theoretical Physics by Antonino Zichichi Pdf

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.

Author : Itzhak Bars,John Terning
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 46,9 Mb
Release : 2009-12-04
Category : Science
ISBN : 9780387776385

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Extra Dimensions in Space and Time by Itzhak Bars,John Terning Pdf

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?