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Author : Владимир Николаевич Пономарев
Publisher :
ISBN 13 : 9785020400474
Total Pages : 345 pages
Book Rating : 4.4/5 (4 download)
Download or read book Gauge Approach and Quantization Methods in Gravity Theory written by Владимир Николаевич Пономарев and published by . This book was released on 2017 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.V. Narlikar
Publisher : Springer Science & Business Media
ISBN 13 : 9400945086
Total Pages : 477 pages
Book Rating : 4.4/5 (9 download)
Download or read book Gravity, Gauge Theories and Quantum Cosmology written by J.V. Narlikar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.
Author : Marc Henneaux
Publisher : Princeton University Press
ISBN 13 : 0691213860
Total Pages : pages
Book Rating : 4.6/5 (912 download)
Download or read book Quantization of Gauge Systems written by Marc Henneaux and published by Princeton University Press. This book was released on 2020-06-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.
Author : Christian Pfeifer
Publisher : Springer Nature
ISBN 13 : 3031315200
Total Pages : 557 pages
Book Rating : 4.0/5 (313 download)
Download or read book Modified and Quantum Gravity written by Christian Pfeifer and published by Springer Nature. This book was released on 2023-11-01 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses theoretical predictions and their comparison with experiments of extended and modified classical and quantum theories of gravity. The goal is to provide a readable access and broad overview over different approaches to the topic to graduate and PhD students as well as to young researchers. The book presents both, theoretical and experimental insights and is structured in three parts. The first addresses the theoretical models beyond special and general relativity such as string theory, Poincare gauge theory and teleparallelism as well as Finsler gravity. In turn, the second part is focused on the observational effects that these models generate, accounting for tests and comparisons which can be made on all possible scales: from the universe as a whole via binary systems, stars, black holes, satellite experiments, down to laboratory experiments at micrometer and smaller scales. The last part of this book is dedicated to quantum systems and gravity, showing tests of classical gravity with quantum systems, and coupling of quantum matter and gravity.
Author : I.L Buchbinder
Publisher : Routledge
ISBN 13 : 1351453831
Total Pages : 424 pages
Book Rating : 4.3/5 (514 download)
Download or read book Effective Action in Quantum Gravity written by I.L Buchbinder and published by Routledge. This book was released on 2017-09-29 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action. Part two deals with quantum field theory in curved space-time and the effective action. These two parts provide the tools for understanding the rest of the book, which is devoted to selected problems of quantum gravity where the effective action plays a major role. The book assumes only a basic understanding of quantum field theory and general relativity and will be of interest to postgraduate students and researchers in theoretical high-energy physics and gravitational theory.
Author : Salvatore Capozziello
Publisher : Nova Science Pub Incorporated
ISBN 13 : 9781616685003
Total Pages : 235 pages
Book Rating : 4.6/5 (85 download)
Download or read book Invariance Principles and Extended Gravity written by Salvatore Capozziello and published by Nova Science Pub Incorporated. This book was released on 2010-07-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents information on the study of gravitational theories which can be seen as modifications or extensions of General Relativity. The basic principles that a gravitational theory should follow, and their geometrical interpretation, are analysed in a broad perspective which highlights the basic assumptions of General Relativity and suggests possible modifications. In particular, the invariance principles that are related to the gravitational field are presented, showing how gravity can emerge as a gauge theory. Also, the boundle approach to gravity and derive geometrical quantities which intervene in the construction of gravitational field are discussed.
Author : Dirk Puetzfeld
Publisher : Springer
ISBN 13 : 3030115003
Total Pages : 479 pages
Book Rating : 4.0/5 (31 download)
Download or read book Relativistic Geodesy written by Dirk Puetzfeld and published by Springer. This book was released on 2019-02-09 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to steadily improving experimental accuracy, relativistic concepts – based on Einstein’s theory of Special and General Relativity – are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field.
Author : Friedrich W. Hehl
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9781848167261
Total Pages : 635 pages
Book Rating : 4.1/5 (672 download)
Download or read book Gauge Theories of Gravitation written by Friedrich W. Hehl and published by World Scientific Publishing Company Incorporated. This book was released on 2013 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword by T W B Kibble, FRSIn the last five decades, the gauge approach to gravity has represented a research area of increasing importance for our understanding of the physics of fundamental interactions. A full clarification of the gauge dynamics of gravity is expected to be the last missing link to the hidden structure of a consistent unification of all the fundamental interactions, based on the gauge principle. The aim of the present reprint volume, with commentaries by Milutin Blagojević and Friedrich W Hehl, is to introduce graduate and advanced undergraduate students of theoretical or mathematical physics, or any other interested researcher, to the field of classical gauge theories of gravity.This is not just an ordinary reprint volume; it is a guide to the literature on gauge theories of gravity. The reader is encouraged first to study the introductory commentaries and to become familiar with the basic content of the reprints and related ideas, then he/she can choose to read a specific reprint or reprints, and after that he/she should return again to the text and explore the additional literature, etc. The interaction is intended to be more complex than just starting with commentaries and ending with reprints.
Author : Clifford M. Will
Publisher : Cambridge University Press
ISBN 13 : 9780521439732
Total Pages : 402 pages
Book Rating : 4.4/5 (397 download)
Download or read book Theory and Experiment in Gravitational Physics written by Clifford M. Will and published by Cambridge University Press. This book was released on 1993-03-11 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised edition of a classic and highly regarded book, first published in 1981, describing the status of theory and experiment in general relativity. The book provides all the necessary theoretical background, and covers all the important experimental tests. A new chapter has been added to cover recent important experimental tests, and the bibliography has been brought right up to date. Reviews of the previous edition: ' ... consolidates much of the literature on experimental gravity and should be invaluable to researchers in gravitation ...' Science ' ... a concise and meaty book ... and a most useful reference work ... researchers and serious students of gravitation should be pleased with it ...' Nature
Author : Jong-Ping Hsu
Publisher : World Scientific
ISBN 13 : 9812703403
Total Pages : 664 pages
Book Rating : 4.8/5 (127 download)
Download or read book 100 Years of Gravity and Accelerated Frames written by Jong-Ping Hsu and published by World Scientific. This book was released on 2005 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."
Author : Albert Petrov
Publisher : Springer Nature
ISBN 13 : 3030528626
Total Pages : 77 pages
Book Rating : 4.0/5 (35 download)
Download or read book Introduction to Modified Gravity written by Albert Petrov and published by Springer Nature. This book was released on 2020-07-27 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews various modified gravity models, including those with modifications in the pure gravitational sector; those involving extra fields, that is, scalar-tensor and vector-tensor gravity theories; gravity models with Lorentz symmetry breaking; and nonlocal gravity models. The authors discuss both classical and quantum aspects of these theories. The book is unique in bringing together all the current alternatives to Einstein gravity in one source and serves as an excellent starting point for graduate students and other newcomers seeking an overview.
Author : Alexander N. Petrov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110351781
Total Pages : 622 pages
Book Rating : 4.1/5 (13 download)
Download or read book Metric Theories of Gravity written by Alexander N. Petrov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-04-24 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
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 : Claus Kiefer
Publisher : OUP Oxford
ISBN 13 : 0191628859
Total Pages : 408 pages
Book Rating : 4.1/5 (916 download)
Download or read book Quantum Gravity written by Claus Kiefer and published by OUP Oxford. This book was released on 2012-04-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum theory of the gravitational field is one of the great open problems in theoretical physics. This book presents a self-contained discussion of the concepts, methods and applications that can be expected in such a theory. The two main approaches to its construction — the direct quantisation of Einstein's general theory of relativity and string theory — are covered. Whereas the first attempts to construct a viable theory for the gravitational field alone, string theory assumes that a quantum theory of gravity will be achieved only through a unification of all the interactions. However, both employ the general method of quantization of constrained systems, which is described together with illustrative examples relevant for quantum gravity. There is a detailed presentation of the main approaches employed in quantum general relativity: path-integral quantization, the background-field method and canonical quantum gravity in the metric, connection and loop formulations. The discussion of string theory centres around its quantum-gravitational aspects and the comparison with quantum general relativity. Physical applications discussed at length include the quantization of black holes, quantum cosmology, the indications of a discrete structure of spacetime, and the origin of irreversibility. This third edition contains new chapters or sections on quantum gravity phenomenology, Horava-Lifshitz quantum gravity, analogue gravity, the holographic principle, and affine quantum gravity. It will present updates on loop quantum cosmology, the LTB model, asymptotic safety, and various discrete approaches. The third edition also contains pedagogical extensions throughout the text. This book will be of interest to researchers and students working in relativity and gravitation, cosmology, quantum field theory and related topics. It will also be of interest to mathematicians and philosophers of science.
Author : Poul Henrik Damgaard
Publisher : Springer Science & Business Media
ISBN 13 : 1461537843
Total Pages : 382 pages
Book Rating : 4.4/5 (615 download)
Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.
Author : Abhay Ashtekar
Publisher : World Scientific
ISBN 13 : 9810205740
Total Pages : 356 pages
Book Rating : 4.8/5 (12 download)
Download or read book Lectures on Non-perturbative Canonical Gravity written by Abhay Ashtekar and published by World Scientific. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.
Author : Bei-Lok B. Hu
Publisher : Cambridge University Press
ISBN 13 : 0521193575
Total Pages : 615 pages
Book Rating : 4.5/5 (211 download)
Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
