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Author : Steven Carlip,Steven Jonathan Carlip
Publisher : Cambridge University Press
Page : 296 pages
File Size : 45,6 Mb
Release : 2003-12-04
Category : Science
ISBN : 0521545889
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author : Max Welling
Publisher : Unknown
Page : 168 pages
File Size : 40,8 Mb
Release : 1998
Category : Electronic
ISBN : 9039320233
Author : Thomas Klösch
Publisher : Unknown
Page : 38 pages
File Size : 43,5 Mb
Release : 1996
Category : Electronic
ISBN : OCLC:722632480
Author : Orlando Alvarez,Enzo Marinari,Paul Windey
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 43,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781461537724
The Cargese Workshop Random Surfaces and Quantum Gravity was held from May 27 to June 2, 1990. Little was known about string theory in the non-perturbative regime before Oetober 1989 when non-perturbative equations for the string partition functions were found by using methods based on the random triangulations of surfaees. This set of methods pro vides a deseription of non-eritical string theory or equivalently of the coupling of matter fields to quantum gravity in two dimensions. The Cargese meeting was very successful in that it provided the first opportunity to gather most of the active workers in the field for a fuH week of lectures and extensive informal discussions about these exeiting new developments. The main results were reviewed, recent advances were explained, new results and conjectures (which appear for the first time in these proceedings) were presented and discussed. Among the most important topics discussed at the workshop were: The relation of KdV theory to loop equations and the Virasoro algebra, new results in Liouville field theory, effective (1 + 1) dimensional theory for 2 - D quantum gravity coupled to c = 1 matter and its fermionization, proposal for a new geometrical interpretation of the string equation and possible definition of quantum Riemann surfaces, discussion of the string equation for the multi-matrix models, links with topological field theories of gravity, issues in using target space supersymmetry to define good theories, definition of the partition function via analytic continuation, new models of random surfaces
Author : Vincent R. Frignanni
Publisher : Unknown
Page : 0 pages
File Size : 40,5 Mb
Release : 2012
Category : Quantum gravity
ISBN : 161122957X
Classical and quantum gravity covers all aspects of gravitational physics and the theory of spacetime. This new book presents topical research in the study of classical and quantum gravity, including the weak field limit of fourth order gravity; the problem of time in quantum gravity; quantum correction and entropy spectrum in different gravity; quantum instability for charged particles on charged Nariai Black Holes and the equivalence of the generalised tetra formalism with the theory of general relativity.
Author : Michele Arzano,Jerzy Kowalski-Glikman
Publisher : Springer Nature
Page : 198 pages
File Size : 54,6 Mb
Release : 2021-06-14
Category : Science
ISBN : 9783662630976
This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.
Author : David J Gross,Tsvi Piran,Steven Weinberg
Publisher : World Scientific
Page : 256 pages
File Size : 53,6 Mb
Release : 1991-12-17
Category : Electronic
ISBN : 9789814556309
In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD.Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this book.
Author : Carlo Rovelli,Francesca Vidotto
Publisher : Cambridge University Press
Page : 267 pages
File Size : 55,9 Mb
Release : 2015
Category : Science
ISBN : 9781107069626
A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.
Author : Claus Birkholz
Publisher : BookRix
Page : 125 pages
File Size : 46,9 Mb
Release : 2018-01-09
Category : Science
ISBN : 9783743848412
The reproducibility of facts is the hallmark of a natural science, the impossibility of counting up to infinity that of a measuring process, and the "law of great numbers" that of statistics. A statement like "Nothing will come from nothing, and nothing gets lost" will yield conservation laws. Bell's own interpretation of his no-go theorems, then, will directly give Quantum Gravity, and its iteration the unification of all types of forces of nature ("New Physics"). The present paper will outline the reasoning of Quantum Gravity and of New Physics rather than their technical details - as far as all that allows for separating those issues from each other. Thermodynamic principles are imposing 2 alternative channels to us: A closed system will yield the reaction channel conserving probabilty, and an open system the dynamic channel. Causality will mark the open channel, entanglement the reaction channel. Parities are the key to understanding a black hole free of singularities. Space, time, and mass can be counted from the non-valence parts of a particle as occurrence rates of special double-quant properties; Higgs is dispensable. The spectrum of stable particles derives from the representation of our static multiverse. Its building universes give us the illusion of motion (like by a flip book). Lagrange's formalism and its canonical quantization prove as classical dead locks of obsolete centuries. The multitude of positive results - like the fine-structure constant calculated correctly, e.g. - speak in favour of New Physics, the total absence of "broken" quantum numbers in favour of a deeper "understanding" of nature.
Author : Giampiero Esposito
Publisher : Nova Publishers
Page : 176 pages
File Size : 53,9 Mb
Release : 2001
Category : Science
ISBN : 1590330005
Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.
Author : A P Balachandran,G Marmo,B S Skagerstam,A Stern
Publisher : World Scientific
Page : 376 pages
File Size : 52,9 Mb
Release : 1991-05-16
Category : Science
ISBN : 9789814506717
This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the charge-monopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge- monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences. Contents:Part I: Classical Mechanics and Quantum States:The Dirac-Bergmann Theory of ConstraintsNonrelativistic Particles with Fixed SpinMagnetic MonopolesThe Canonical Formalism and QuantizationThe Wess-Zumino Term and the Path SpaceQuantum Symmetries and the Wess-Zumino TermQuantum Theory for Multiply Connected Configuration SpacesPart II: Topological Solitons and Nonlinear Models:Topological Solitons in One and Two DimensionsNonlinear Models as Gauge TheoriesThe Chern-Simons TermPart III: Skyrmions:The Effective Lagrangian for QCDSkyrme Solitons for Two FlavoursPreliminary Discussion of Skyrme's ProposalsBaryon Number and Spin of the SkyrmionMore on the Wess-Zumino TermA Hierarchy of “Spherically Symmetric” AnsätzeSkyrmion PhenomenologyElectroweak SkyrmionsPart IV: Gauge, Gravity and String Theories:Multiply Connected Configuration Spaces in Gauge and Gravity TheoriesGeons and their PropertiesStatistics, Strings and Gravity Readership: Mathematical physicists and physicists interested in topological concepts, soliton and skyrmion theory and foundations of quantum theory. keywords:Skyrmions and Other Solitons;Geons;Magnetic Monopoles;Nonlinear Models;Wess-Zumino Term;Topology and Quantum Theory;Chern-Simons Theory;Fibre Bundles;Constraint Theory and Quantization;Spin and Statistics
Author : Carlo Rovelli
Publisher : Cambridge University Press
Page : 516 pages
File Size : 43,8 Mb
Release : 2007-11-29
Category : Science
ISBN : 9781139456159
Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.
Author : Rodrigo Sobreiro
Publisher : BoD – Books on Demand
Page : 114 pages
File Size : 40,5 Mb
Release : 2012-02-15
Category : Science
ISBN : 9789535100898
The unification between gravity and quantum field theory is one of the major problems in contemporary fundamental Physics. It exists for almost one century, but a final answer is yet to be found. Although string theory and loop quantum gravity have brought many answers to the quantum gravity problem, they also came with a large set of extra questions. In addition to these last two techniques, many other alternative theories have emerged along the decades. This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity. Quantum Gravity is a book where the reader will find a fine collection of physical and mathematical concepts, an up to date research, about the challenging puzzle of quantum gravity.
Author : Friedrich W. Hehl,Claus Kiefer,Ralph J.K. Metzler
Publisher : Springer Science & Business Media
Page : 540 pages
File Size : 41,6 Mb
Release : 1998-11-26
Category : Science
ISBN : 3540651586
This book addresses graduate students in the first place and is meant as a modern compendium to the existing texts on black hole astrophysics. The authors present in pedagogically written articles our present knowledge on black holes covering mathematical models including numerical aspects and physics and astronomical observations as well. In addition, in their write-up of a panel discussion the participants of the school address the existence of black holes consenting that it has by now been verified with certainty.
Author : Lawrence B. Crowell
Publisher : World Scientific
Page : 388 pages
File Size : 43,5 Mb
Release : 2005
Category : Science
ISBN : 9789812565150
Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.