Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
The Resource Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
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The item Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
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The item Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book aims to present a pedagogical and selfconsistent 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 nonAbelian 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 CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi 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 CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments
 Language
 eng
 Extent
 1 online resource
 Contents

 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. LeviCivita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation
 2. Elements of cosmology. 2.1. The RobertsonWalker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm
 3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field
 4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms
 5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints
 6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the WheelerDeWitt approach
 7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action
 8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomyflux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime
 9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG
 Isbn
 9781306941990
 Label
 Canonical quantum gravity : fundamentals and recent developments
 Title
 Canonical quantum gravity
 Title remainder
 fundamentals and recent developments
 Statement of responsibility
 by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
 Title variation
 Quantum gravity
 Language
 eng
 Summary
 This book aims to present a pedagogical and selfconsistent 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 nonAbelian 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 CDeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar CBarbero CImmirzi 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 CDeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments
 Cataloging source
 IDEBK
 http://library.link/vocab/creatorName
 Cianfrani, Francesco
 Dewey number
 530.14/3
 Index
 index present
 LC call number
 QC178
 LC item number
 .C35 2014eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1980
 1966
 http://library.link/vocab/relatedWorkOrContributorName

 Lecian, Orchidea Maria
 Lulli, Matteo
 Montani, Giovanni
 http://library.link/vocab/subjectName

 Quantum gravity
 Gravitation
 General relativity (Physics)
 SCIENCE
 SCIENCE
 SCIENCE
 General relativity (Physics)
 Gravitation
 Quantum gravity
 Label
 Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. LeviCivita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation  2. Elements of cosmology. 2.1. The RobertsonWalker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm  3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field  4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms  5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints  6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the WheelerDeWitt approach  7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action  8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomyflux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime  9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG
 Control code
 883374310
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781306941990
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)883374310
 Label
 Canonical quantum gravity : fundamentals and recent developments, by Francesco Cianfrani (University of Wroclaw, Poland), Orchidea Maria Lecian (Universit a di Roma "Sapienza," Italy & Max Planck Institute for Gravitational Physics, Germany), Matteo Lulli (Universit a di Roma "Sapienza," Italy), & Giovanni Montani (ENEA, Italy)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction to general relativity. 1.1. Parametric manifold representation. 1.2. Tensor formalism. 1.3. Affine properties of the manifold. 1.4. Metric properties of the manifold. 1.5. Geodesic equation and parallel transport. 1.6. LeviCivita tensor. 1.7. Volume element and covariant divergence. 1.8. Gauss and Stokes theorems. 1.9. The Riemann tensor. 1.10. Geodesic deviation. 1.11. Einstein's equations. 1.12. Vierbein representation  2. Elements of cosmology. 2.1. The RobertsonWalker geometry. 2.2. Kinematics of the Universe. 2.3. Isotropic Universe dynamics. 2.4. Universe thermal history. 2.5. Inflationary paradigm  3. Constrained Hamiltonian systems. 3.1. Preliminaries. 3.2. Constrained systems. 3.3. Canonical transformations. 3.4. Electromagnetic field  4. Lagrangian formulations. 4.1. Metric representation. 4.2. ADM formalism. 4.3. Boundary terms  5. Quantization methods. 5.1. Classical and quantum dynamics. 5.2. Weyl quantization. 5.3. GNS construction. 5.4. Polymer representation. 5.5. Quantization of Hamiltonian constraints  6. Quantum geometrodynamics. 6.1. The Hamiltonian structure of gravity. 6.2. ADM reduction of the Hamiltonian dynamics. 6.3. Quantization of the gravitational field. 6.4. Shortcomings of the WheelerDeWitt approach  7. Gravity as a gauge theory. 7.1. Gauge theories. 7.2. Gravity as a gauge theory of the Lorentz group? 7.3. Poincare gauge theory. 7.4. Holst action  8. Loop quantum gravity. 8.1. Smeared variables. 8.2. Hilbert space representation of the holonomyflux algebra. 8.3. Kinematical constraints. 8.4. Geometrical operators: discrete spectra. 8.5. The scalar constraint operator. 8.6. Open issues in loop quantum gravity. 8.7. Master constraint and algebraic quantum gravity. 8.8. The picture of quantum spacetime  9. Quantum cosmology. 9.1. The minisuperspace model. 9.2. General behavior of Bianchi models. 9.3. Bianchi I model. 9.4. Bianchi IX model. 9.5. BKL conjecture. 9.6. Cosmology in LQG
 Control code
 883374310
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9781306941990
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)883374310
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