The primordial density perturbation: cosmology, inflation and the origin of structure
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2009
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 497 S. Ill., graph. Darst. |
| ISBN: | 9780521828499 |
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| 100 | 1 | |a Lyth, David H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The primordial density perturbation |b cosmology, inflation and the origin of structure |c David H. Lyth ; Andrew R. Liddle |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2009 | |
| 300 | |a XVIII, 497 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 4 | |a Perturbation (Astronomy) | |
| 650 | 4 | |a Inflationary universe | |
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Record in the Search Index
| _version_ | 1804138590716821504 |
|---|---|
| adam_text | Contents
Frequently used symbols page
xiv
Preface
xvii
1
Overview
1
Part I Relativity
5
2
Special relativity
7
2.1
Minkowski coordinates and the relativity principle
7
2.2
Vectors and tensors with Minkowski coordinates
10
2.3
Spacetime lines and geodesies
12
2.4
Fluid dynamics
14
2.5
Energy-momentum tensor
16
2.6
Gas dynamics
19
2.7
Boltzmann equation
21
3
General relativity
26
3.1
Special relativity with generic coordinates: mathematics
26
3.2
Special relativity with generic coordinates: laws of physics
30
3.3
Curved spacetime
31
3.4
Curved space and curved surfaces
34
3.5
The equivalence principle
35
3.6
Einstein gravity
35
3.7
The Robertson-Walker metric
39
3.8
Hubble parameter and horizons
42
3.9
Inflation and the Big Bang
44
3.10
Continuity equation and
Friedmann
equation
45
vii
viii Contents
Part II The Universe after the first second
49
4
The unperturbed Universe
51
4.1
Temperature and redshift
51
4.2
Thermal equilibrium in the early Universe
52
4.3 Baryon
and
lepton
number
54
4.4
The evolution up to Big Bang Nucleosynthesis
56
4.5
The ACDM model
60
4.6
Evolution of the scale factor
63
4.7
Photon decoupling and reionization
65
4.8
Neutrino mass
67
5
The primordial density perturbation
70
5.1
A first look at the primordial perturbations
70
5.2
Cosmological perturbations
74
5.3
The evolution of cosmological perturbations
76
5.4
Primordial curvature perturbation
78
5.5
Linear density perturbations
81
6
Stochastic properties
85
6.1
Random fields
85
6.2
Fourier expansion
87
6.3
Gaussian perturbations
88
6.4
Non-gaussian
perturbations
91
6.5
Ergodic theorem and cosmic variance
94
6.6
Spherical expansion
97
6.7
Correlators of the curvature perturbation
99
7
Newtonian perturbations
103
7.1
Free-streaming, oscillation, and collapse
103
7.2
Newtonian perturbations: total mass density
105
7.3
Effect of the cosmological constant
109
7.4 Baryon
density perturbation
110
8
General relativistic perturbations
115
8.1
Scalar, vector, and tensor modes
115
8.2
Perturbing the metric and energy-momentum tensors
118
8.3
Evolution of the scalar mode perturbations
121
8.4
Separate fluids
123
8.5
Matter density transfer function
125
8.6
Acoustic oscillation
127
8.7
Silk damping
129
8.8
Synchronous gauge
132
Contents ix
9 The matter
distribution
134
9.1
Smoothing
135
9.2
Bottom-up structure formation
136
9.3
Critical density for collapse
139
9.4
Virialization
142
9.5
Abundance of premature objects
144
9.6
The observed mass density perturbation
146
10
Cosmic microwave background anisotropy
152
10.1
CMB multipoles
153
10.2
Spectrum of the CMB anisotropy
155
10.3
Flat-sky approximation
156
10.4
Scalar mode
158
10.5
Sudden-decoupling approximation
159
10.6
Sachs-Wolfe plateau
162
10.7
Acoustic peaks and Silk damping
165
10.8
Reionization
167
10.9
Non-gaussianity of the CMB anisotropy
168
11
Boltzmann hierarchy and polarization
171
11.1
Perturbed Boltzmann equation
171
11.2
Boltzmann hierarchy
173
11.3
Collision term without polarization
174
11.4
Polarization and Thomson scattering
177
11.5
CMB polarization
180
11.6
Boltzmann hierarchy with polarization
181
11.7
Initial conditions and the transfer functions
184
11.8
Line-of-sight integral
186
12
Isocurvature and tensor modes
190
12.1
Isocurvature modes
190
12.2
Matter isocurvature mode
192
12.3
Neutrino isocurvature mode
196
12.4
The primordial
lepton
number perturbation
197
12.5
Tensor mode
199
12.6
Seeds and the vector mode
204
12.7
Spatial curvature
205
x
Contents
Part III Field theory
209
13
Scalar fields and gravity
211
13.1
Field theory
211
13.2
Action and Lagrangian
214
13.3
Scalar field in flat spacetime
219
13.4
Energy-momentum tensor
220
13.5
Nearly free scalar field
221
13.6
Several fields
222
13.7
Field theory in curved spacetime
225
13.8
Gravity from the action principle
226
14
Internal symmetry
228
14.1
Symmetry groups
228
14.2
Abelian global symmetries
229
14.3
Non-Abelian continuous global symmetries
231
14.4
Noether s theorem and conserved quantities
234
14.5
Spontaneously broken global symmetry
236
14.6 /7(1)
gauge symmetry
239
14.7
SU
(2)
gauge symmetry
241
14.8
Spontaneously broken gauge symmetry
242
14.9
Discrete gauge symmetry
244
15
Quantum field theory
246
15.1 Schrödinger
and
Heisenberg
pictures
246
15.2
Symmetry and conserved currents
248
15.3
Harmonic oscillator
251
15.4
Quantized free scalar field
253
15.5
Vector field
256
15.6
Spin-1/2 field
258
15.7
Free scalar field with time-dependent mass
261
15.8
Quantized interactions
263
16
The Standard Model
268
16.1
Electroweak Lagrangian
269
16.2
Electroweak theory: particles and interactions
271
16.3
Electroweak theory with three generations
273
16.4
Quantum Chromodynamics (QCD)
275
16.5
The complete Lagrangian and its accidental symmetries
279
16.6
Peccei-Quinn symmetry and the
axion
282
16.7
Neutrino mass
284
Contents xi
17 Supersymmetry 288
17.1 The supersymmetry
transformation
288
17.2 Renormalizable global supersymmetry 289
17.3 Global supersymmetry
breaking
291
17.4 Supergravity 294
17.5 The Minimal Supersymmetric Standard Model 296
17.6 Supersymmetry
and the
axion
300
Part IV
Inflation
and the early Universe
303
18
Slow-roll inflation
305
18.1
Inflation defined
305
18.2
Three problems of the pure Big Bang
307
18.3
Initial condition for inflation
311
18.4
The amount of observable inflation
311
18.5
The slow-roll paradigm
314
18.6
Hamilton-Jacobi formulation
316
18.7
Inflationary potentials
318
19
Inflation with modified gravity
325
19.1
Scalar-tensor theories
325
19.2
Induced gravity and variable Planck mass
326
19.3
Extended inflation
327
19.4
R2 inflation
329
19.5
Modified gravity from the braneworld
329
20
Multi-field dynamics
332
20.1
Multi-field slow-roll inflation
332
20.2
Light and heavy fields
334
21
Reheating and phase transitions
337
21.1
Reheating
337
21.2
Preheating
340
21.3
Phase transitions and solitons
344
21.4
Main types of soliton
347
21.5
Topological defects and the GUT transition
350
21.6
Thermal inflation
351
21.7
Moduli problem
353
22
Thermal equilibrium and the origin of baryon number
358
22.1
Thermal equilibrium before the electroweak phase transition
358
22.2
Thermal equilibrium with non-zero
В
—
L
360
22.3
Baryogenesis mechanisms
362
xii
Contents
23
Cold dark matter and dark energy
369
23.1
Axion
CDM
369
23.2
The LSP as a CDM candidate
372
23.3
Supermassive CDM
candidates
376
23.4
Primordial black holes
377
23.5
Dark energy
378
24
Generating field perturbations at horizon exit
382
24.1
Quantum theory of a massless free scalar field during inflation
382
24.2
Quantum to classical transition
386
24.3
Linear corrections to the calculation
387
24.4
Non-gaussianity of the field perturbations
390
24.5
Higher orders of perturbation theory
393
24.6
Stochastic field evolution
394
24.7
Primordial tensor perturbation
397
24.8
Particle production from a perturbation created during inflation
400
25
Generating
ζ
at horizon exit
404
25.1
Anthropic constraints on the curvature perturbation
405
25.2
Prediction of the standard paradigm for the spectrum
406
25.3
Tensor fraction and constraints on small-field models
407
25.4
Prediction of the standard paradigm for non-gaussianity
410
25.5
Loop contributions to the correlators of
ζ
413
25.6
The standard paradigm beyond slow roll
416
25.7
K-inflation
418
25.8
Warm inflation
420
26
Generating
ζ
after horizon exit
424
26.1
The generic
δΝ
formula for
ζ
424
26.2
Spectrum of
ζ
425
26.3
Non-gaussianity
427
26.4
Curvaton paradigm
429
26.5
Inhomogeneous decay rate
432
26.6
More ways of generating the curvature perturbation
434
27
Generating primordial
isocurvature
perturbations
437
27.1
The
δη,
;
formula
437
27.2
Axion CDM
isocurvature
perturbation
439
27.3
Affleck-Dine
isocurvature
perturbation
443
27.4
Correlated CDM or
bary
on
isocurvature
perturbation
443
27.5
Neutrino
isocurvature
perturbation
445
Contents xiii
28
Slow-roll inflation and observation
447
28.1
Historical development
447
28.2
Eternal inflation
449
28.3
Field theory and inflation
451
28.4
The eta problem
451
28.5
Hilltop inflation
454
28.6
Ledge inflation
456
28.7
GUT inflation
458
28.8
D-term inflation
461
28.9
Another potential
463
28.10
Running-mass inflation
463
28.11
Small-field PNGB inflation
466
28.12
Modular inflation
467
28.13
Large-field models
468
29
Perspective
475
Appendix A: Spherical functions
477
Appendix B: Constants and parameters
482
Index
484
|
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| id | DE-604.BV035293300 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:37Z |
| institution | BVB |
| isbn | 9780521828499 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017098316 |
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| physical | XVIII, 497 S. Ill., graph. Darst. |
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| spelling | Lyth, David H. Verfasser aut The primordial density perturbation cosmology, inflation and the origin of structure David H. Lyth ; Andrew R. Liddle 1. publ. Cambridge Cambridge University Press 2009 XVIII, 497 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Perturbation (Astronomy) Inflationary universe Strukturbildung (DE-588)4541700-3 gnd rswk-swf Inflationäres Weltall (DE-588)4296767-3 gnd rswk-swf Kosmologie (DE-588)4114294-9 gnd rswk-swf Kosmologie (DE-588)4114294-9 s Inflationäres Weltall (DE-588)4296767-3 s Strukturbildung (DE-588)4541700-3 s DE-604 Liddle, Andrew R. 1965- Verfasser (DE-588)136952208 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lyth, David H. Liddle, Andrew R. 1965- The primordial density perturbation cosmology, inflation and the origin of structure Perturbation (Astronomy) Inflationary universe Strukturbildung (DE-588)4541700-3 gnd Inflationäres Weltall (DE-588)4296767-3 gnd Kosmologie (DE-588)4114294-9 gnd |
| subject_GND | (DE-588)4541700-3 (DE-588)4296767-3 (DE-588)4114294-9 |
| title | The primordial density perturbation cosmology, inflation and the origin of structure |
| title_auth | The primordial density perturbation cosmology, inflation and the origin of structure |
| title_exact_search | The primordial density perturbation cosmology, inflation and the origin of structure |
| title_full | The primordial density perturbation cosmology, inflation and the origin of structure David H. Lyth ; Andrew R. Liddle |
| title_fullStr | The primordial density perturbation cosmology, inflation and the origin of structure David H. Lyth ; Andrew R. Liddle |
| title_full_unstemmed | The primordial density perturbation cosmology, inflation and the origin of structure David H. Lyth ; Andrew R. Liddle |
| title_short | The primordial density perturbation |
| title_sort | the primordial density perturbation cosmology inflation and the origin of structure |
| title_sub | cosmology, inflation and the origin of structure |
| topic | Perturbation (Astronomy) Inflationary universe Strukturbildung (DE-588)4541700-3 gnd Inflationäres Weltall (DE-588)4296767-3 gnd Kosmologie (DE-588)4114294-9 gnd |
| topic_facet | Perturbation (Astronomy) Inflationary universe Strukturbildung Inflationäres Weltall Kosmologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017098316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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