Coverart for item
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)

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
Creator
Contributor
Subject
Genre
Language
eng
Summary
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 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)
Instantiates
Publication
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. Levi-Civita 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 Robertson-Walker 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 Wheeler-DeWitt 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 holonomy-flux 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)
Publication
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. Levi-Civita 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 Robertson-Walker 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 Wheeler-DeWitt 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 holonomy-flux 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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