Covariant Canonical Gauge Gravity

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Covariant Canonical Gauge Gravity

Author : David Vasak
Publisher : Springer Nature
ISBN 13 : 3031437179
Total Pages : 215 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Covariant Canonical Gauge Gravity by : David Vasak

Download or read book Covariant Canonical Gauge Gravity written by David Vasak and published by Springer Nature. This book was released on 2023-11-02 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with the mathematical basis of the theory - i.e. provide a brief sketch of the theory of manifolds and frame bundles, tensors and their transformations, relativistic kinematics, and aspects of non-flat space-time geometries. The definition of relevant physical quantities (torsion, curvature, non-metricity, tetrads, connection fields etc.) and important geometry concepts are also included. The main body of the book is devoted to a detailed derivation of the gauge theory of gravitation for scalar, vector (Proca and Maxwell) and Dirac spinor fields. Alternative approaches based on the Noether theorem and on the spinorial representation of the fields are also addressed, as well as important novel features related to the CCGG framework (Birkhoff theorem, field derivative identities etc.). In the last section of the volume the application of the CCGG theory to cosmology will be set out, resulting in a new understanding of dark energy and inflation.

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity

Author : Nakanishi Noboru
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103868
Total Pages : 452 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Covariant Operator Formalism Of Gauge Theories And Quantum Gravity by : Nakanishi Noboru

Download or read book Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru and published by World Scientific Publishing Company. This book was released on 1990-11-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.

Covariant Operator Formalism of Gauge Theories and Quantum Gravity

Author : Noboru Nakanishi
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789971502393
Total Pages : 434 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Covariant Operator Formalism of Gauge Theories and Quantum Gravity by : Noboru Nakanishi

Download or read book Covariant Operator Formalism of Gauge Theories and Quantum Gravity written by Noboru Nakanishi and published by World Scientific Publishing Company Incorporated. This book was released on 1990 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Covariant Operator Formalism of Gauge Theories and Quantum Gravity

Author : Noboru Nakanishi
Publisher :
ISBN 13 : 9789812799340
Total Pages : 453 pages
Book Rating : 4.7/5 (993 download)

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Book Synopsis Covariant Operator Formalism of Gauge Theories and Quantum Gravity by : Noboru Nakanishi

Download or read book Covariant Operator Formalism of Gauge Theories and Quantum Gravity written by Noboru Nakanishi and published by . This book was released on 1990 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes)

Download Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) PDF Online Free

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9811269785
Total Pages : 4880 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) by : Remo Ruffini

Download or read book Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) written by Remo Ruffini and published by World Scientific. This book was released on 2022-12-15 with total page 4880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format.

Lie Theory and Its Applications in Physics

Author : Vladimir Dobrev
Publisher : Springer Nature
ISBN 13 : 9811577757
Total Pages : 552 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev

Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer Nature. This book was released on 2020-10-15 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.

Canonical Quantum Gravity

Author : Francesco Cianfrani
Publisher : World Scientific
ISBN 13 : 9814556661
Total Pages : 324 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Canonical Quantum Gravity by : Francesco Cianfrani

Download or read book Canonical Quantum Gravity written by Francesco Cianfrani and published by World Scientific. This book was released on 2014-05-21 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler–DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar–Barbero–Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler–DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Contents:Introduction to General RelativityElements of CosmologyConstrained Hamiltonian SystemsLagrangian FormulationsQuantization MethodsQuantum GeometrodynamicsGravity as a Gauge TheoryLoop Quantum GravityQuantum Cosmology Readership: Researchers in theoretical physics, quantum physics, general relativity and astrophysics. Keywords:Canonical Quantum Gravity;Quantum Gravity;Loop Quantum Gravity Theory;General RelativityKey Features:An independent and sound analysis touching many crucial points in the attempt toward a consistent Canonical Quantum Gravity theoryA pedagogical and exhaustive review of fundamental concepts of Quantum Mechanics and General RelativityA solid introduction to Hamiltonian constrained systems with a detailed analysis of the notion of canonical transformation in this class of systems with some concrete examples giving useful insightA self-consistent derivation of the Loop Quantum Gravity Approach, outlining the main progresses and the shortcomings of this theory

Quantum Gravity - Proceedings Of The International School Of Cosmology And Gravitation Xiv Course

Author : De Sabbata Venzo
Publisher : World Scientific
ISBN 13 : 981454745X
Total Pages : 464 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Gravity - Proceedings Of The International School Of Cosmology And Gravitation Xiv Course by : De Sabbata Venzo

Download or read book Quantum Gravity - Proceedings Of The International School Of Cosmology And Gravitation Xiv Course written by De Sabbata Venzo and published by World Scientific. This book was released on 1996-09-03 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of 'Quantum Gravity': a series of qualified lectures of most outstanding scientists given during the XIV Course of the International School of Cosmology and Gravitation. As usual of that School, the Course was conceived for researchers at different levels of scientific maturity ranging from post-doctorate research students to well established research workers: then in every lecture you can find an introduction where a review and analysis of the main mathematical, physical and epistemological difficulties encountered at the formulations of relativistic quantum theories are expounded, ranging from relativistic quantum mechanics and quantum field theory in Minkowski and in curved space-time to the various canonical and covariant approaches to quantum gravity.

Canonical Gravity and Applications

Author : Martin Bojowald
Publisher : Cambridge University Press
ISBN 13 : 1139494139
Total Pages : 313 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Canonical Gravity and Applications by : Martin Bojowald

Download or read book Canonical Gravity and Applications written by Martin Bojowald and published by Cambridge University Press. This book was released on 2010-12-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.

Gravitation and Gauge Symmetries

Author : M Blagojevic
Publisher : CRC Press
ISBN 13 : 142003426X
Total Pages : 522 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Gravitation and Gauge Symmetries by : M Blagojevic

Download or read book Gravitation and Gauge Symmetries written by M Blagojevic and published by CRC Press. This book was released on 2001-10-25 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex

Approaches to Quantum Gravity

Author : Daniele Oriti
Publisher : Cambridge University Press
ISBN 13 : 0521860458
Total Pages : 605 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Approaches to Quantum Gravity by : Daniele Oriti

Download or read book Approaches to Quantum Gravity written by Daniele Oriti and published by Cambridge University Press. This book was released on 2009-03-05 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.

Metric Theories of Gravity

Author : Alexander N. Petrov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110383403
Total Pages : 621 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Metric Theories of Gravity by : Alexander N. Petrov

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 621 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.

Perturbation Theory in Covariant Canonical Quantization

Author : Sayandeb Basu
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Perturbation Theory in Covariant Canonical Quantization by : Sayandeb Basu

Download or read book Perturbation Theory in Covariant Canonical Quantization written by Sayandeb Basu and published by . This book was released on 2005 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Canonical Gravity

Author : Jürgen Ehlers
Publisher : Springer
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Canonical Gravity by : Jürgen Ehlers

Download or read book Canonical Gravity written by Jürgen Ehlers and published by Springer. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gravity and Strings

Author : Tomás Ortín
Publisher : Cambridge University Press
ISBN 13 : 1139449966
Total Pages : 708 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Gravity and Strings by : Tomás Ortín

Download or read book Gravity and Strings written by Tomás Ortín and published by Cambridge University Press. This book was released on 2004-03-25 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: One appealing feature of string theory is that it provides a theory of quantum gravity. Gravity and Strings is a self-contained, pedagogical exposition of this theory, its foundations and its basic results. In Part I, the foundations are traced back to the very early special-relativistic field theories of gravity, showing how such theories lead to general relativity. Gauge theories of gravity are then discussed and used to introduce supergravity theories. In Part II, some of the most interesting solutions of general relativity and its generalizations are studied. The final Part presents and studies string theory from the effective action point of view, using the results found earlier in the book as background. This 2004 book will be useful as a reference book for graduate students and researchers, as well as a complementary textbook for courses on gravity, supergravity and string theory.

Algebraic Analysis

Author : Masaki Kashiwara
Publisher : Academic Press
ISBN 13 : 1483267946
Total Pages : 500 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Algebraic Analysis by : Masaki Kashiwara

Download or read book Algebraic Analysis written by Masaki Kashiwara and published by Academic Press. This book was released on 2014-05-10 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson’s theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.

Sixth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories (In 2 Volumes)

Download Sixth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories (In 2 Volumes) PDF Online Free

Author : Humitaka Sato
Publisher : World Scientific
ISBN 13 : 9814554944
Total Pages : 1797 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Sixth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories (In 2 Volumes) by : Humitaka Sato

Download or read book Sixth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories (In 2 Volumes) written by Humitaka Sato and published by World Scientific. This book was released on 1993-01-08 with total page 1797 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marcel Grossmann Meetings have been conceived with the aim of reviewing recent advances in gravitation and general relativity, with particular emphasis on mathematical foundations and physical predictions. The overall programme includes the broad categories of mathematical techniques, cosmology, quantum gravity, astrophysics, gravitational radiation and experimental developments.The proceedings contain invited and contributed papers.