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Author: John David Brown
Publisher: World Scientific
ISBN: 9789971506223
Category : Science
Languages : en
Pages : 166
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Book Description
This book addresses the subject of gravity theories in two and three spacetime dimensions. The prevailing philosophy is that lower dimensional models of gravity provide a useful arena for developing new ideas and insights, which are applicable to four dimensional gravity. The first chapter consists of a comprehensive introduction to both two and three dimensional gravity, including a discussion of their basic structures. In the second chapter, the asymptotic structure of three dimensional Einstein gravity with a negative cosmological constant is analyzed. The third chapter contains a treatment of the effects of matter sources in classical two dimensional gravity. The fourth chapter gives a complete analysis of particle pair creation by electric and gravitational fields in two dimensions, and the resulting effect on the cosmological constant. Lower dimensional gravity may have never been reviewed in its entirety anywhere in the literature.
Author: John David Brown
Publisher: World Scientific
ISBN: 9789971506223
Category : Science
Languages : en
Pages : 166
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Book Description
This book addresses the subject of gravity theories in two and three spacetime dimensions. The prevailing philosophy is that lower dimensional models of gravity provide a useful arena for developing new ideas and insights, which are applicable to four dimensional gravity. The first chapter consists of a comprehensive introduction to both two and three dimensional gravity, including a discussion of their basic structures. In the second chapter, the asymptotic structure of three dimensional Einstein gravity with a negative cosmological constant is analyzed. The third chapter contains a treatment of the effects of matter sources in classical two dimensional gravity. The fourth chapter gives a complete analysis of particle pair creation by electric and gravitational fields in two dimensions, and the resulting effect on the cosmological constant. Lower dimensional gravity may have never been reviewed in its entirety anywhere in the literature.
Author: L. Baulieu
Publisher: Springer Science & Business Media
ISBN: 1489919198
Category : Science
Languages : en
Pages : 374
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Book Description
The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.
Author: Steven Carlip
Publisher: Cambridge University Press
ISBN: 9780521545884
Category : Science
Languages : en
Pages : 296
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Book Description
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author: Jesper Jacobsen
Publisher: OUP Oxford
ISBN: 0191574449
Category : Science
Languages : en
Pages : 664
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Book Description
Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics.
Author: George James Ducas
Publisher: Xlibris Corporation
ISBN: 1477160841
Category : Science
Languages : en
Pages : 314
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Book Description
The concept of a First Cause of all reality or God can be arrived at through science, metaphysics, and philosophy. This book establishes unification by defining parameters of equivalency through mathematics with the conclusion that all reality is consciousness. The keys to the universe and description of equivalency are defined. God can be known though works in creation when the true nature of being is understood, truth known, and the universe becomes an analogy of truth. All reality is consciousness established through patterns of hierarchy and symmetry proceeding from God. Action is known by equivalency and love is received in Creation.
Author: Gabor Domokos
Publisher: #N/A
ISBN: 9814556505
Category :
Languages : en
Pages : 502
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Book Description
This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.
Author: Hugh Osborn
Publisher: Springer Science & Business Media
ISBN: 1489916121
Category : Science
Languages : en
Pages : 318
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Book Description
The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.
Author: Jong-ping Hsu
Publisher: World Scientific
ISBN: 9814542784
Category : Science
Languages : en
Pages : 390
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Book Description
It is the tradition of this series of workshops that theorists and experimentalists sharing common interests discuss a variety of issues relevant to promoting the quest to unify microscopic physics and gravitation. This proceedings volume embodies that tradition.It included current hot topics such as superconducting accelerometers, low-temperature-long-distance telescopes for gravitational waves, gravitational experiment with high-precision torsion pendulums and modern high-technology, physics of neutron stars, the theory of accretion disc, Ashtekhar's theory, physics of wormholes, and black holes and entropy.
Author: Constantin P. Bachas
Publisher: Springer Science & Business Media
ISBN: 3540362452
Category : Science
Languages : en
Pages : 674
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Book Description
The contributions to this volume of the famous summer school in Les Houches cover the recent developments in supersymmetric string theory, the gauge theory/string theory correspondence and string duality. The book is a comprehensive introduction to the recent developments in string/M-theory and quantum gravity.
Author: Michael P Ryan Jr
Publisher: World Scientific
ISBN: 9814555959
Category :
Languages : en
Pages : 566
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Book Description
The Latin American Symposium on Relativity and Gravitation has been held every two or three years over the past twenty years. This is the seventh in the series.
