Quantum field theory in curved spacetime: quantized fields and gravity
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on mathematical physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 455 S. graph. Darst. |
| ISBN: | 9780521877879 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quantum field theory in curved spacetime |b quantized fields and gravity |c Leonard E. Parker ; David J. Toms |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XIV, 455 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804138903053008896 |
|---|---|
| adam_text | Contents
Preface
page
xi
Acknowledgments
xiii
Conventions and notation
xv
1
Quantum fields in Minkowski spacetime
1
1.1
Canonical formulation
2
1.2
Particles
13
1.3
Vacuum energy
21
1.4
Charged scalar field
24
1.5
Dirac field
27
1.6
Angular momentum and spin
32
2
Basics of quantum fields in curved spacetimes
36
2.1
Canonical quantization and conservation laws
37
2.2
Scalar field
43
2.3
Cosmologica!
model: Arbitrary asymptotically static time
dependence
47
2.4
Particle creation in a dynamic universe
51
2.5
Statistics from dynamics: Spin-0
54
2.6
Conformally invariant non-interacting field
56
2.7
Probability distribution of created particles
58
2.8
Exact solution with particle creation
61
2.9
High-frequency
blackbody
distribution
63
2.10
de
Sitter spacetime
64
2.11
Quantum fluctuations and early inflation
73
2.12
Quantizing the inflaton field perturbations
77
2.13
A word on interacting quantized fields and on algebraic quantum
field theory in curved spacetime
88
2.14
Accelerated detector in Minkowski spacetime
91
3
Expectation values quadratic in fields
93
3.1
Adiabatic subtraction and physical quantities
93
3.2
Energy-momentum tensor from trace anomaly
107
3.3
Renormalization in general spacetimes
110
3.4
Gaussian approximation to propagator
115
viii Contents
3.5
Approximate energy-momentum tensor in
Schwarzschild,
de
Sitter, and other static Einstein spacetimes
118
3.6
ñ-summed
form of propagator
129
3.7
iž-summed
action and cosmic acceleration
131
3.8
Normal coordinate momentum space
134
3.9
Chiral current anomaly caused by spacetime curvature
144
4
Particle creation by black holes
152
4.1
Introduction
152
4.2
Classical considerations
153
4.3
Quantum aspects
162
4.4
Energy-momentum tensor with Hawking flux
174
4.5
Back reaction to black hole evaporation
178
4.6
Trans-Planckian physics in Hawking radiation and
cosmology
180
4.7
Further topics: Closed timelike curves; closed-time-path
integral
182
5
The one-loop effective action
184
5.1
Introduction
184
5.2
Preliminary definition of the effective action
185
5.3
Regularization of the effective action
190
5.4
Effective action for scalar fields: Some examples
200
5.5
The
conformai
anomaly and the functional integral
216
5.6
Spinors in curved spacetime
221
5.7
The effective action for spinor fields
245
5.8
Application of the effective action for spinor fields
253
5.9
The axial, or chiral, anomaly
257
6
The effective action: Non-gauge theories
268
6.1
Introduction
268
6.2
The
Schwinger
action principle
271
6.3
The Feynman path integral
277
6.4
The effective action
280
6.5
The geometrical effective action
283
6.6
Perturbative expansion of the effective action
295
6.7
Renormalization of an interacting scalar field theory
302
6.8
The renormalization group and the effective action
318
6.9
The effective potential
322
6.10
The renormalization of the non-linear
sigma
model
331
6.11
Formal properties of the effective action
337
Appendix
344
Contents ix
7
The effective action: Gauge theories
348
7.1
Introduction
348
7.2
Gauge transformations
350
7.3
The orbit space and the gauge condition
359
7.4
Field space reparameterization and the Killing equation
368
7.5
The connection and its consequences
375
7.6
The functional measure for gauge theories
385
7.7
Gauge-invariant effective action
390
7.8
Yang-Mills theory, concluded
399
7.9
Scalar quantum electrodynamics
407
Appendix
420
Appendix: Quantized Inflaton Perturbations
422
References
426
Index
445
|
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
| edition | 1. publ. |
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| id | DE-604.BV035451792 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:35:35Z |
| institution | BVB |
| isbn | 9780521877879 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017371818 |
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| publishDate | 2009 |
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| series2 | Cambridge monographs on mathematical physics |
| spelling | Parker, Leonard E. 1938- Verfasser (DE-588)139157085 aut Quantum field theory in curved spacetime quantized fields and gravity Leonard E. Parker ; David J. Toms 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 XIV, 455 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Quantum field theory Space and time Particles (Nuclear physics) Relativity (Physics) Gekrümmte Raumzeit (DE-588)4322953-0 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Gekrümmte Raumzeit (DE-588)4322953-0 s DE-604 Toms, David J. 1953- Verfasser (DE-588)139157107 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017371818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Parker, Leonard E. 1938- Toms, David J. 1953- Quantum field theory in curved spacetime quantized fields and gravity Quantum field theory Space and time Particles (Nuclear physics) Relativity (Physics) Gekrümmte Raumzeit (DE-588)4322953-0 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4322953-0 (DE-588)4047984-5 |
| title | Quantum field theory in curved spacetime quantized fields and gravity |
| title_auth | Quantum field theory in curved spacetime quantized fields and gravity |
| title_exact_search | Quantum field theory in curved spacetime quantized fields and gravity |
| title_full | Quantum field theory in curved spacetime quantized fields and gravity Leonard E. Parker ; David J. Toms |
| title_fullStr | Quantum field theory in curved spacetime quantized fields and gravity Leonard E. Parker ; David J. Toms |
| title_full_unstemmed | Quantum field theory in curved spacetime quantized fields and gravity Leonard E. Parker ; David J. Toms |
| title_short | Quantum field theory in curved spacetime |
| title_sort | quantum field theory in curved spacetime quantized fields and gravity |
| title_sub | quantized fields and gravity |
| topic | Quantum field theory Space and time Particles (Nuclear physics) Relativity (Physics) Gekrümmte Raumzeit (DE-588)4322953-0 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Quantum field theory Space and time Particles (Nuclear physics) Relativity (Physics) Gekrümmte Raumzeit Quantenfeldtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017371818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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