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Author : Karyn Maureen Apfeldorf
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (33 download)
Download or read book Some Problems Inspired by Two-dimensional Quantum Gravity written by Karyn Maureen Apfeldorf and published by . This book was released on 1992 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C Itzykson
Publisher : World Scientific
ISBN 13 : 9814507598
Total Pages : 992 pages
Book Rating : 4.8/5 (145 download)
Download or read book Conformal Invariance And Applications To Statistical Mechanics written by C Itzykson and published by World Scientific. This book was released on 1998-09-29 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.
Author : Steven Carlip
Publisher : Cambridge University Press
ISBN 13 : 9780521545884
Total Pages : 296 pages
Book Rating : 4.5/5 (458 download)
Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author : Orlando Alvarez
Publisher : Springer Science & Business Media
ISBN 13 : 146153772X
Total Pages : 401 pages
Book Rating : 4.4/5 (615 download)
Download or read book Random Surfaces and Quantum Gravity written by Orlando Alvarez and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Luca Lionni
Publisher : Springer
ISBN 13 : 3319960237
Total Pages : 233 pages
Book Rating : 4.3/5 (199 download)
Download or read book Colored Discrete Spaces written by Luca Lionni and published by Springer. This book was released on 2018-08-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.
Author : David J Gross
Publisher : World Scientific
ISBN 13 : 9814556300
Total Pages : 256 pages
Book Rating : 4.8/5 (145 download)
Download or read book Two Dimensional Quantum Gravity And Random Surfaces - 8th Jerusalem Winter School For Theoretical Physics written by David J Gross and published by World Scientific. This book was released on 1991-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter Woit
Publisher : Basic Books
ISBN 13 : 046500363X
Total Pages : 336 pages
Book Rating : 4.4/5 (65 download)
Download or read book Not Even Wrong written by Peter Woit and published by Basic Books. This book was released on 2007-03-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.
Author : Jan Ambjorn
Publisher : CRC Press
ISBN 13 : 1000776026
Total Pages : 329 pages
Book Rating : 4.0/5 (7 download)
Download or read book Elementary Introduction to Quantum Geometry written by Jan Ambjorn and published by CRC Press. This book was released on 2022-11-02 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook provides an introduction to quantum gravity, when spacetime is two-dimensional. The quantization of gravity is the main missing piece of theoretical physics, but in two dimensions it can be done explicitly with elementary mathematical tools, but it still has most of the conceptional riddles present in higher dimensional (not yet known) quantum gravity. It provides an introduction to a very interdisciplinary field, uniting physics (quantum geometry) and mathematics (combinatorics) in a non-technical way, requiring no prior knowledge of quantum field theory or general relativity. Using the path integral, the chapters provide self-contained descriptions of random walks, random trees and random surfaces as statistical systems where the free relativistic particle, the relativistic bosonic string and two-dimensional quantum gravity are obtained as scaling limits at phase transition points of these statistical systems. The geometric nature of the theories allows one to perform the path integral by counting geometries. In this way the quantization of geometry becomes closely linked to the mathematical fields of combinatorics and probability theory. By counting the geometries, it is shown that the two-dimensional quantum world is fractal at all scales unless one imposes restrictions on the geometries. It is also discussed in simple terms how quantum geometry and quantum matter can interact strongly and change the properties both of the geometries and of the matter systems. It requires only basic undergraduate knowledge of classical mechanics, statistical mechanics and quantum mechanics, as well as some basic knowledge of mathematics at undergraduate level. It will be an ideal textbook for graduate students in theoretical and statistical physics and mathematics studying quantum gravity and quantum geometry. Key features: Presents the first elementary introduction to quantum geometry Explores how to understand quantum geometry without prior knowledge beyond bachelor level physics and mathematics. Contains exercises, problems and solutions to supplement and enhance learning
Author : Richard Dawid
Publisher : Cambridge University Press
ISBN 13 : 1107067588
Total Pages : 213 pages
Book Rating : 4.1/5 (7 download)
Download or read book String Theory and the Scientific Method written by Richard Dawid and published by Cambridge University Press. This book was released on 2013-05-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory has played a highly influential role in theoretical physics for nearly three decades and has substantially altered our view of the elementary building principles of the Universe. However, the theory remains empirically unconfirmed, and is expected to remain so for the foreseeable future. So why do string theorists have such a strong belief in their theory? This book explores this question, offering a novel insight into the nature of theory assessment itself. Dawid approaches the topic from a unique position, having extensive experience in both philosophy and high-energy physics. He argues that string theory is just the most conspicuous example of a number of theories in high-energy physics where non-empirical theory assessment has an important part to play. Aimed at physicists and philosophers of science, the book does not use mathematical formalism and explains most technical terms.
Author : Mitsuo Abe
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (429 download)
Download or read book Anomaly Problem in a Simple Model Analogous to the Lightcone-gauge Two-dimensional Quantum Gravity written by Mitsuo Abe and published by . This book was released on 1997 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jácome Armas
Publisher : Cambridge University Press
ISBN 13 : 1107168872
Total Pages : 719 pages
Book Rating : 4.1/5 (71 download)
Download or read book Conversations on Quantum Gravity written by Jácome Armas and published by Cambridge University Press. This book was released on 2021-08-26 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading theorists share their important insights into the ongoing quest of theoretical physics to find a quantum theory of gravity.
Author : Joseph Conlon
Publisher : CRC Press
ISBN 13 : 1482242494
Total Pages : 256 pages
Book Rating : 4.4/5 (822 download)
Download or read book Why String Theory? written by Joseph Conlon and published by CRC Press. This book was released on 2016-08-19 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics World's 'Book of the Year' for 2016 An Entertaining and Enlightening Guide to the Who, What, and Why of String Theory, now also available in an updated reflowable electronic format compatible with mobile devices and e-readers. During the last 50 years, numerous physicists have tried to unravel the secrets of string theory. Yet why do these scientists work on a theory lacking experimental confirmation? Why String Theory? provides the answer, offering a highly readable and accessible panorama of the who, what, and why of this large aspect of modern theoretical physics. The author, a theoretical physics professor at the University of Oxford and a leading string theorist, explains what string theory is and where it originated. He describes how string theory fits into physics and why so many physicists and mathematicians find it appealing when working on topics from M-theory to monsters and from cosmology to superconductors.
Author : E. Abdalla
Publisher : Springer Science & Business Media
ISBN 13 : 3540483365
Total Pages : 325 pages
Book Rating : 4.5/5 (44 download)
Download or read book 2D-Gravity in Non-Critical Strings written by E. Abdalla and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of the use of the Liouville (and super-Liouville) equation in (super)string theory outside the critical dimension, and of the complementary approach based on the discretized space-time - known as the matrix model approach. The authors pay particular attention to supersymmetry, both in the continuum formulation and through the consideration of the super-eigenvalue problem. The methods presented here are important in a large number of complex problems, e.g. random surfaces, 2-D gravity and large-N quantum chromodynamics, and this comparitive study of the different methods permits a cross-evaluation of the results when both methods are valid, combined with new predictions when only one of the methods may be applied.
Author : M C Bento
Publisher : World Scientific
ISBN 13 : 9814553174
Total Pages : 358 pages
Book Rating : 4.8/5 (145 download)
Download or read book Classical And Quantum Gravity - Proceedings Of The First Iberian Meeting On Gravity written by M C Bento and published by World Scientific. This book was released on 1993-12-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the First Iberian Meeting on Gravity give a broad view of the most recent research on gravity. Black hole thermodynamics, wormhole solutions and covariant path integral quantization are some of the topics discussed. The mainstream approaches to quantum gravity, such as loop space quantization and string theories, are presented. Also included are the trendy subjects of two-dimensional quantum gravity and unitary matrix models.
Author :
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yuki Sato
Publisher : Springer
ISBN 13 : 4431549471
Total Pages : 112 pages
Book Rating : 4.4/5 (315 download)
Download or read book Space-Time Foliation in Quantum Gravity written by Yuki Sato and published by Springer. This book was released on 2014-05-28 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models. In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary. In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.
Author :
Publisher :
ISBN 13 :
Total Pages : 578 pages
Book Rating : 4.0/5 ( download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1993-10 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
