Quantum gravity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford Univ. Press
2007
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | The international series of monographs on physics
136 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | In BNB angegebene ISBN: 0-19-856677-8 |
| Beschreibung: | XI, 361 S. graph. Darst. |
| ISBN: | 9780199212521 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804136560447193088 |
|---|---|
| adam_text | CONTENTS
1
Why quantum gravity?
1
1.1
Quantum theory and the gravitational field
1
1.1.1
Introduction
1
1.1.2
Main motivations for quantizing gravity
3
1.1.3
Relevant scales
4
1.1.4
Quantum mechanics and Newtonian gravity
7
1.1.5
Quantum field theory in curved space-time
14
1.2
Problems of a fundamentally semiclassical theory
15
1.3
Approaches to quantum gravity
22
2
Covariant approaches to quantum gravity
25
2.1
The concept of a graviton
25
2.1.1
Weak gravitational waves
25
2.1.2
Gravitons
from representations of the
Poincarć
group
30
2.1.3
Quantization of the linear field theory
33
2.2
Path-integral quantization
39
2.2.1
General properties of path integrals
39
2.2.2
The perturbative non-renormalizability
42
2.2.3
Effective action and Feynman rules
47
2.2.4
Semiclassical Einstein equations
55
2.2.5
Asymptotic safety
63
2.2.6
Regge
calculus and dynamical
triangulation
66
2.3
Quantum supergravity
70
3
Parametrized and relational systems
73
3.1
Particle systems
73
3.1.1
Parametrized non-relativistic particle
73
3.1.2
Some remarks on constrained systems
76
3.1.3
The relativistic particle
78
3.2
The free bosonic string
81
3.3
Parametrized field theories
86
3.4
Relational dynamical systems
93
4
Hamiltonian formulation of general relativity
98
4.1
The seventh route to geomctrodynamics
98
4.1.1
Principle of path independence
98
4.1.2
Explicit form of generators
100
4.1.3
Geometrodynamics and gauge theories
103
4.2
The
3+1
decomposition of general relativity
105
4.2.1
The canonical variables
106
x
CONTENTS
4.2.2 Hamiltonian form
of the
Einstein-Hübert
action
109
4.2.3
Discussion of the constraints
114
4.2.4
The case of open spaces
118
4.2.5
Structure of configuration space
120
4.3
Canonical gravity with connections and loops
124
4.3.1
The canonical variables
124
4.3.2
Discussion of the constraints
127
4.3.3
Loop variables
130
5
Quantum geometrodynamics
133
5.1
The programme of canonical quantization
133
5.2
The problem of time
136
5.2.1
Time before quantization
138
5.2.2
Time after quantization
141
5.3
The geometrodynamical wave function
144
5.3.1
The diffeomorphism constraints
144
5.3.2
WKB approximation
147
5.3.3
Remarks on the functional
Schrödinger
picture
148
5.3.4
Connection with path integrals
151
5.3.5
Anomalies and factor ordering
153
5.3.6
Canonical quantum supergravity
158
5.4
The semiclassical approximation
164
5.4.1
Analogies from quantum mechanics
164
5.4.2
Derivation of the
Schrödinger
equation
170
5.4.3
Quantum-gravitational correction terms
175
6
Quantum gravity with connections and loops
181
6.1
Connection and loop variables
181
6.1.1
Connection representation
181
6.1.2
Loop representation
184
6.2
Quantization of area
189
6.3
Quantum Hamiltonian constraint
194
7
Quantization of black holes
199
7.1
Black-hole thermodynamics and Hawking radiation
199
7.1.1
The laws of black-hole mechanics
199
7.1.2
Hawking and
Unruh
radiation
201
7.1.3
Bekenstein-Hawking entropy
208
7.2
Canonical quantization of the
Schwarzschild
black hole
209
7.2.1
Classical formalism
210
7.2.2
Quantization
213
7.3
Black-hole spectroscopy and entropy
217
7.4
Quantum theory of collapsing dust shells
221
7.4.1
Covariant gauge fixing
222
7.4.2
Embedding variables for the classical theory
223
CONTENTS xi
7.4.3
Quantization
226
7.5 The
Lemaître-Tolman-Bondi
model
229
7.5.1
The classical LTB model
229
7.5.2
Quantization
232
7.6
The information-loss problem
236
7.7
Primordial black holes
238
8
Quantum cosmology
243
8.1 Minisuperspace
models
243
8.1.1
General introduction
243
8.1.2
Quantization of
a
Friedmann
universe
246
8.1.3
(2-|-l)-dimensional quantum gravity
256
8.2
Introduction of inhomogeneities
258
8.3
Boundary conditions
262
8.3.1
DeWitt s boundary condition
263
8.3.2
No-boundary condition
263
8.3.3
Tunnelling condition
268
8.3.4
Comparison of no-boundary and tunnelling wave
function
269
8.3.5
Symmetric initial condition
272
8.4
Loop quantum cosmology
272
8.4.1
Classical variables
272
8.4.2
Quantization
274
9
String theory
279
9.1
General introduction
279
9.2
Quantum-gravitational aspects
284
9.2.1
The Polyakov path integral
284
9.2.2
Effective actions
288
9.2.3
Т
-duality
and branes
291
9.2.4
Superstrings
295
9.2.5
Black-hole entropy
298
9.2.6
Brane
worlds
301
10
Quantum gravity and the interpretation of quantum
theory
307
10.1
Decoherence and the quantum universe
307
10.1.1
Decoherence in quantum mechanics
308
10.1.2
Decoherence in quantum cosmology
310
10.1.3
Decoherence of primordial fluctuations
318
10.2
Arrow of time
319
10.3
Outlook
324
References
327
Index
357
|
| adam_txt |
CONTENTS
1
Why quantum gravity?
1
1.1
Quantum theory and the gravitational field
1
1.1.1
Introduction
1
1.1.2
Main motivations for quantizing gravity
3
1.1.3
Relevant scales
4
1.1.4
Quantum mechanics and Newtonian gravity
7
1.1.5
Quantum field theory in curved space-time
14
1.2
Problems of a fundamentally semiclassical theory
15
1.3
Approaches to quantum gravity
22
2
Covariant approaches to quantum gravity
25
2.1
The concept of a graviton
25
2.1.1
Weak gravitational waves
25
2.1.2
Gravitons
from representations of the
Poincarć
group
30
2.1.3
Quantization of the linear field theory
33
2.2
Path-integral quantization
39
2.2.1
General properties of path integrals
39
2.2.2
The perturbative non-renormalizability
42
2.2.3
Effective action and Feynman rules
47
2.2.4
Semiclassical Einstein equations
55
2.2.5
Asymptotic safety
63
2.2.6
Regge
calculus and dynamical
triangulation
66
2.3
Quantum supergravity
70
3
Parametrized and relational systems
73
3.1
Particle systems
73
3.1.1
Parametrized non-relativistic particle
73
3.1.2
Some remarks on constrained systems
76
3.1.3
The relativistic particle
78
3.2
The free bosonic string
81
3.3
Parametrized field theories
86
3.4
Relational dynamical systems
93
4
Hamiltonian formulation of general relativity
98
4.1
The seventh route to geomctrodynamics
98
4.1.1
Principle of path independence
98
4.1.2
Explicit form of generators
100
4.1.3
Geometrodynamics and gauge theories
103
4.2
The
3+1
decomposition of general relativity
105
4.2.1
The canonical variables
106
x
CONTENTS
4.2.2 Hamiltonian form
of the
Einstein-Hübert
action
109
4.2.3
Discussion of the constraints
114
4.2.4
The case of open spaces
118
4.2.5
Structure of configuration space
120
4.3
Canonical gravity with connections and loops
124
4.3.1
The canonical variables
124
4.3.2
Discussion of the constraints
127
4.3.3
Loop variables
130
5
Quantum geometrodynamics
133
5.1
The programme of canonical quantization
133
5.2
The problem of time
136
5.2.1
Time before quantization
138
5.2.2
Time after quantization
141
5.3
The geometrodynamical wave function
144
5.3.1
The diffeomorphism constraints
144
5.3.2
WKB approximation
147
5.3.3
Remarks on the functional
Schrödinger
picture
148
5.3.4
Connection with path integrals
151
5.3.5
Anomalies and factor ordering
153
5.3.6
Canonical quantum supergravity
158
5.4
The semiclassical approximation
164
5.4.1
Analogies from quantum mechanics
164
5.4.2
Derivation of the
Schrödinger
equation
170
5.4.3
Quantum-gravitational correction terms
175
6
Quantum gravity with connections and loops
181
6.1
Connection and loop variables
181
6.1.1
Connection representation
181
6.1.2
Loop representation
184
6.2
Quantization of area
189
6.3
Quantum Hamiltonian constraint
194
7
Quantization of black holes
199
7.1
Black-hole thermodynamics and Hawking radiation
199
7.1.1
The laws of black-hole mechanics
199
7.1.2
Hawking and
Unruh
radiation
201
7.1.3
Bekenstein-Hawking entropy
208
7.2
Canonical quantization of the
Schwarzschild
black hole
209
7.2.1
Classical formalism
210
7.2.2
Quantization
213
7.3
Black-hole spectroscopy and entropy
217
7.4
Quantum theory of collapsing dust shells
221
7.4.1
Covariant gauge fixing
222
7.4.2
Embedding variables for the classical theory
223
CONTENTS xi
7.4.3
Quantization
226
7.5 The
Lemaître-Tolman-Bondi
model
229
7.5.1
The classical LTB model
229
7.5.2
Quantization
232
7.6
The information-loss problem
236
7.7
Primordial black holes
238
8
Quantum cosmology
243
8.1 Minisuperspace
models
243
8.1.1
General introduction
243
8.1.2
Quantization of
a
Friedmann
universe
246
8.1.3
(2-|-l)-dimensional quantum gravity
256
8.2
Introduction of inhomogeneities
258
8.3
Boundary conditions
262
8.3.1
DeWitt's boundary condition
263
8.3.2
No-boundary condition
263
8.3.3
Tunnelling condition
268
8.3.4
Comparison of no-boundary and tunnelling wave
function
269
8.3.5
Symmetric initial condition
272
8.4
Loop quantum cosmology
272
8.4.1
Classical variables
272
8.4.2
Quantization
274
9
String theory
279
9.1
General introduction
279
9.2
Quantum-gravitational aspects
284
9.2.1
The Polyakov path integral
284
9.2.2
Effective actions
288
9.2.3
Т
-duality
and branes
291
9.2.4
Superstrings
295
9.2.5
Black-hole entropy
298
9.2.6
Brane
worlds
301
10
Quantum gravity and the interpretation of quantum
theory
307
10.1
Decoherence and the quantum universe
307
10.1.1
Decoherence in quantum mechanics
308
10.1.2
Decoherence in quantum cosmology
310
10.1.3
Decoherence of primordial fluctuations
318
10.2
Arrow of time
319
10.3
Outlook
324
References
327
Index
357 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:45:13Z |
| indexdate | 2024-07-09T20:58:20Z |
| institution | BVB |
| isbn | 9780199212521 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015680060 |
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| physical | XI, 361 S. graph. Darst. |
| publishDate | 2007 |
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| publisher | Oxford Univ. Press |
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| series2 | The international series of monographs on physics |
| spelling | Kiefer, Claus 1958- Verfasser (DE-588)129670626 aut Quantum gravity Claus Kiefer 2. ed. Oxford Oxford Univ. Press 2007 XI, 361 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The international series of monographs on physics 136 In BNB angegebene ISBN: 0-19-856677-8 Gravité quantique Quantum gravity Quantengravitation (DE-588)4124012-1 gnd rswk-swf Quantengravitation (DE-588)4124012-1 s DE-604 The international series of monographs on physics 136 (DE-604)BV000106406 136 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015680060&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kiefer, Claus 1958- Quantum gravity The international series of monographs on physics Gravité quantique Quantum gravity Quantengravitation (DE-588)4124012-1 gnd |
| subject_GND | (DE-588)4124012-1 |
| title | Quantum gravity |
| title_auth | Quantum gravity |
| title_exact_search | Quantum gravity |
| title_exact_search_txtP | Quantum gravity |
| title_full | Quantum gravity Claus Kiefer |
| title_fullStr | Quantum gravity Claus Kiefer |
| title_full_unstemmed | Quantum gravity Claus Kiefer |
| title_short | Quantum gravity |
| title_sort | quantum gravity |
| topic | Gravité quantique Quantum gravity Quantengravitation (DE-588)4124012-1 gnd |
| topic_facet | Gravité quantique Quantum gravity Quantengravitation |
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