Quantum gravity and quantum cosmology:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture Notes in Physics
863 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 399 S. graph. Darst. |
| ISBN: | 9783642330353 |
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
PART I QUANTUM GRAVITY
1 STRING THEORY, UNIFICATION AND QUANTUM GRAVITY 3
K.S. STELLE 1.1 INTRODUCTION: THE ULTRAVIOLET PROBLEMS O F GRAVITY 3
1.2 STRING THEORY BASICS 5
1.2.1 REPARAMETRIZATION INVARIANCE 6
1.2.2 T H E STRING ACTION 7
1.3 EFFECTIVE FIELD EQUATIONS 10
1.4 DIMENSIONAL REDUCTION AND T-DUALITY 12
1.4.1 DIMENSIONAL REDUCTION O F STRINGS AND T-DUALITY 13
1.5 M-THEORY AND THE WEB O F DUALITIES 15
1.6 BRANES AND DUALITY 17
1.7 T H E ONSET O F SUPERGRAVITY DIVERGENCES 2 0
1.7.1 SUPERGRAVITY COUNTERTERM ANALYSIS 22
1.7.2 SUPERGRAVITY DIVERGENCES FROM SUPERSTRINGS 25
1.8 OTHER ASPECTS O F STRING THEORY 26
1.8.1 THE STRING SCALE 2 6
1.8.2 BOUNDARIES O F MODULI SPACE 27
1.8.3 STRING AND GRAVITY THERMODYNAMICS 2 8
1.9 CONCLUSION 28
REFERENCES 29
2 INTRODUCTION TO LOOP QUANTUM GRAVITY AND COSMOLOGY 31
ABHAY ASHTEKAR 2.1 INTRODUCTION 31
2.1.1 DEVELOPMENT O F QUANTUM GRAVITY: A BIRD'S EYE VIEW . . . 31
2.1.2 PHYSICAL QUESTIONS O F QUANTUM GRAVITY 36
2.2 LOOP QUANTUM GRAVITY AND COSMOLOGY 3 8
2.2.1 VIEWPOINT 38
2.2.2 ADVANCES 4 0
VII
HTTP://D-NB.INFO/1024629368
IMAGE 2
V I I I C O N T E N T S
2.2.3 CHALLENGES AND OPPORTUNITIES 47
REFERENCES 55
3 COVARIANT LOOP GRAVITY 57
CARLO ROVELLI 3.1 THE DEFINITION O F THE THEORY 57
3.2 PROPERTIES 58
3.3 THE DISCRETIZATION O F PARAMETRIZED SYSTEMS 59
3.4 THE DISCRETIZATION O F CLASSICAL GENERAL RELATIVITY 62
3.5 CONCLUSION 64
REFERENCES 65
4 SPINOR GRAVITY A N D DIFFEOMORPHISM INVARIANCE ON THE LATTICE . . . .
67
C. WETTERICH 4.1 INTRODUCTION 67
4.2 SPINORS AS FUNDAMENTAL DEGREES O F FREEDOM 6 8
4.3 ACTION AND FUNCTIONAL INTEGRAL 71
4.4 GENERALIZED LORENTZ TRANSFORMATIONS 72
4.5 LORENTZ INVARIANT SPINOR BILINEARS 74
4.6 ACTION WITH LOCAL LORENTZ SYMMETRY 75
4.7 GAUGE AND DISCRETE SYMMETRIES 77
4.8 DISCRETIZATION 7 8
4.9 LATTICE ACTION 79
4.10 LATTICE DIFFEOMORPHISM INVARIANCE 81
4.11 LATTICE DIFFEOMORPHISM INVARIANCE IN TWO DIMENSIONS 83
4.12 EFFECTIVE ACTION 86
4.13 METRIC 87
4.14 EFFECTIVE ACTION FOR GRAVITY AND GRAVITATIONAL FIELD EQUATIONS . .
89 4.15 CONCLUSIONS AND DISCUSSION 9 0
REFERENCES 92
5 INTRODUCTION TO CAUSAL DYNAMICAL TRIANGULATIONS 93
ANDRZEJ GORLICH 5.1 INTRODUCTION 93
5.1.1 CAUSAL TRIANGULATIONS 9 4
5.1.2 THE REGGE ACTION AND THE W I C K ROTATION 9 6
5.2 PHASE DIAGRAM 9 8
5.3 THE MACROSCOPIC D E SITTER UNIVERSE 100
5.3.1 THE SPATIAL VOLUME 100
5.3.2 THE MINI-SUPERSPACE MODEL 102
5.3.3 THE FOUR-DIMENSIONAL SPACE-TIME 103
5.4 QUANTUM FLUCTUATIONS 107
5.4.1 THE EFFECTIVE ACTION 109
5.4.2 FLOW O F THE GRAVITATIONAL CONSTANT 112
5.5 THE GEOMETRY O F SPATIAL SLICES 113
5.5.1 THE HAUSDORFF DIMENSION 113
IMAGE 3
C O N T E N T S I X
5.5.2 SPECTRAL DIMENSION 115
5.6 CONCLUSIONS 116
REFERENCES 116
6 MASSIVE GRAVITY: A PRIMER 119
E.A. BERGSHOETF, M. KOVACEVIC, J. ROSSEEL, AND Y. YIN 6.1 INTRODUCTION
119
6.2 GENERAL SPIN 121
6.2.1 "BOOSTING U P THE DERIVATIVES" 121
6.2.2 "TAKING THE SQUARE ROOT" 125
6.3 SPIN 1 126
6.4 SPIN 2 131
6.4.1 3 D N E W MASSIVE GRAVITY 131
6.4.2 3 D TOPOLOGICAL MASSIVE GRAVITY 136
6.4.3 EXTENSIONS 138
6.5 CONCLUSIONS 139
APPENDIX EXERCISES 139
REFERENCES 144
PART II QUANTUM COSMOLOGY
7 LOOP QUANTUM COSMOLOGY, SPACE-TIME STRUCTURE, A N D FALSIFIABILITY 149
MARTIN BOJOWALD 7.1 INTRODUCTION 149
7.2 CANONICAL GRAVITY 153
7.2.1 COSMIC SUBTLETIES 154
7.2.2 DEFORMATIONS O F SPACE 156
7.2.3 GAUGE THEORY 157
7.2.4 QUANTUM CORRECTIONS 159
7.3 LOOP QUANTUM GRAVITY 160
7.3.1 CORRECTIONS FROM LOOP QUANTUM GRAVITY 162
7.3.2 CONSTRUCTION O F INVERSE-TRIAD CORRECTIONS 163
7.3.3 ANOMALY-FREEDOM 164
7.3.4 FALSIFIABILITY 166
7.3.5 ANOMALY-FREE HOLONOMY CORRECTIONS 167
7.4 EFFECTIVE THEORIES 168
7.4.1 EFFECTIVE CANONICAL DYNAMICS 170
7.4.2 M O M E N T DYNAMICS 172
7.4.3 EFFECTIVE CONSTRAINTS 174
7.4.4 ISOTROPIC COSMOLOGY 177
7.4.5 BEGINNING 179
7.5 CONCLUSIONS 181
REFERENCES 181
8 ASYMPTOTIC SAFETY, FRACTALS, AND COSMOLOGY 1 8 5
MARTIN REUTER AND FRANK SAUERESSIG
8.1 INTRODUCTION 1 8 5
IMAGE 4
X C O N T E N T S
8.2 THEORY SPACE AND ITS TRUNCATION 188
8.3 THE EFFECTIVE AVERAGE ACTION FOR GRAVITY 192
8.4 THE EINSTEIN-HILBERT TRUNCATION 194
8.5 THE MULTI-FRACTAL PROPERTIES O F Q E G SPACE-TIMES 197
8.6 SPECTRAL, WALK, AND HAUSDORFF DIMENSION 2 0 0
8.7 FRACTAL DIMENSIONS WITHIN Q E G 202
8.7.1 DIFFUSION PROCESSES ON Q E G SPACE-TIMES 202
8.7.2 THE SPECTRAL DIMENSION IN Q E G 204
8.7.3 THE WALK DIMENSION IN Q E G 206
8.7.4 THE HAUSDORFF DIMENSION IN Q E G 206
8.7.5 RELATIONS BETWEEN DIMENSIONS 207
8.8 THE R G RUNNING O F S A N D * ," 207
8.9 MATCHING THE SPECTRAL DIMENSIONS O F Q E G AND C D T 2 1 0
8.10 ASYMPTOTIC SAFETY IN COSMOLOGY 213
8.10.1 R G IMPROVED EINSTEIN EQUATIONS 214
8.10.2 SOLVING THE R G IMPROVED EINSTEIN EQUATIONS 214
8.10.3 INFLATION IN THE FIXED-POINT REGIME 215
8.10.4 ENTROPY AND THE RENORMALIZATION GROUP 217
8.10.5 PRIMORDIAL ENTROPY GENERATION 219
8.10.6 ENTROPY PRODUCTION FOR R G TRAJECTORY REALIZED BY NATURE . 221
8.11 CONCLUSIONS 223
REFERENCES 223
9 HOLOGRAPHY FOR INFLATIONARY COSMOLOGY 227
PAUL MCFADDEN 9.1 INTRODUCTION 227
9.2 DOMAIN-WALLS AND COSMOLOGIES 2 3 0
9.2.1 DEFINING THE PERTURBATIONS 2 3 0
9.2.2 DYNAMICS 232
9.2.3 THE DOMAIN-WALL/COSMOLOGY CORRESPONDENCE 234
9.2.4 COSMOLOGICAL POWER SPECTRA 236
9.3 HOLOGRAPHY FOR COSMOLOGY 237
9.3.1 BACKGROUND SOLUTIONS 238
9.3.2 BASICS O F HOLOGRAPHY 238
9.3.3 HAMILTONIAN HOLOGRAPHIC RENORMALISATION 240
9.3.4 T H E STRESS TENSOR 2-POINT FUNCTION 243
9.3.5 HOLOGRAPHIC ANALYSIS 244
9.3.6 HOLOGRAPHIC FORMULAE FOR THE POWER SPECTRA 249
9.4 HOLOGRAPHIC PHENOMENOLOGY FOR COSMOLOGY 2 5 0
9.4.1 A PROTOTYPE DUAL Q F T 251
9.4.2 CALCULATING THE HOLOGRAPHIC POWER SPECTRA 252
9.5 CONFRONTING OBSERVATIONS 257
9.6 CONCLUSION 2 6 3
REFERENCES 265
IMAGE 5
C O N T E N T S X I
PART III OBSERVATIONAL STATUS
10 OBSERVATIONAL STATUS O F DARK MATTER 271
JOSEPH SILK 10.1 INTRODUCTION 271
10.2 T H E O B S E R V A T I O N A L C A S E 2 7 2
10.3 FROM GALAXIES TO CLUSTERS 2 7 2
10.3.1 GALAXY ROTATION CURVES 2 7 2
10.4 LARGE-SCALE STRUCTURE 274
10.4.1 REDSHIFT SPACE DISTORTIONS 274
10.4.2 BARYON ACOUSTIC OSCILLATIONS 2 7 5
10.4.3 COSMIC MICROWAVE BACKGROUND 2 7 5
10.5 FUTURE PROSPECTS IN OBSERVATION 2 7 5
10.6 FUTURE PROSPECTS IN ASTROPHYSICAL THEORY 2 7 6
10.7 DIRECT DETECTION 2 7 9
10.8 INDIRECT DETECTION 2 7 9
10.8.1 HELIOSEISMOLOGY 2 8 0
10.8.2 HIGH ENERGY COSMIC RAYS 2 8 0
10.8.3 G A M M A RAYS 281
10.8.4 T H E W M A P MICROWAVE HAZE 281
10.8.5 DECAYING DARK MATTER 2 8 2
10.9 THE FUTURE 282
10.9.1 THE SUN 2 8 2
10.9.2 DIRECT DETECTION 2 8 3
10.9.3 AIR CERENKOV TELESCOPES 2 8 3
10.9.4 STRANGE STARS . . . . 283
10.9.5 THE GALACTIC CENTRE 284
10.9.6 L H C 284
10.10 SUMMARY 284
REFERENCES 2 8 5
11 DARK ENERGY: OBSERVATIONAL STATUS AND THEORETICAL MODELS . . 2 8 9
SHINJI TSUJIKAWA 11.1 INTRODUCTION 289
11.2 OBSERVATIONAL CONSTRAINTS ON DARK ENERGY 291
11.2.1 S U P E R N O V A ' L A OBSERVATIONS 291
11.2.2 C M B 294
11.2.3 BAO 2 9 6
11.3 COSMOLOGICAL CONSTANT 298
11.4 MODIFIED MATTER MODELS 3 0 0
11.4.1 QUINTESSENCE 301
11.4.2 K-ESSENCE 304
11.4.3 COUPLED DARK ENERGY 307
11.4.4 UNIFIED MODELS O F DARK ENERGY AND DARK MATTER . . . . 311
11.5 MODIFIED GRAVITY MODELS 3 1 3
11.5.1 / ( / ? ) GRAVITY 3 1 3
IMAGE 6
XII CONTENTS
11.5.2 SCALAR-TENSOR THEORIES 3 1 9
11.5.3 D G P MODEL 3 2 3
11.6 CONCLUSIONS 325
REFERENCES 3 2 6
12 UNCONVENTIONAL COSMOLOGY 3 3 3
ROBERT H. BRANDENBERGER 12.1 INTRODUCTION 333
12.1.1 OVERVIEW 333
12.1.2 REVIEW O F INFLATIONARY COSMOLOGY 335
12.1.3 CONCEPTUAL PROBLEMS O F INFLATIONARY COSMOLOGY . . . . 337
12.2 MATTER BOUNCE 3 3 9
12.2.1 T H E IDEA 339
12.2.2 REALIZING A MATTER BOUNCE WITH MODIFIED MATTER . . . . 3 4 2
12.2.3 REALIZING A MATTER BOUNCE WITH MODIFIED GRAVITY . . . 344 12.3
EMERGENT UNIVERSE 345
12.3.1 T H E IDEA 3 4 5
12.3.2 STRING GAS COSMOLOGY 347
12.4 COSMOLOGICAL PERTURBATIONS 3 5 1
12.4.1 OVERVIEW 351
12.5 FLUCTUATIONS IN INFLATIONARY COSMOLOGY 355
12.6 MATTER BOUNCE AND STRUCTURE FORMATION 3 5 6
12.6.1 BASICS 357
12.6.2 SPECIFIC PREDICTIONS 359
12.7 STRING GAS COSMOLOGY AND STRUCTURE FORMATION 361
12.7.1 OVERVIEW 361
12.7.2 SPECTRUM O F COSMOLOGICAL FLUCTUATIONS 363
12.7.3 KEY PREDICTION O F STRING GAS COSMOLOGY 365
12.7.4 C O M M E N T S 367
12.8 CONCLUSIONS 367
REFERENCES 368
13 QUANTUM GRAVITY AND INFLATION 375
M.G. ROMANIA, N.C. TSAMIS, AND R.P. WOODARD 13.1 INTRODUCTION 375
13.2 MODEL BUILDING 381
13.3 POST-INFLATIONARY EVOLUTION 391
13.4 CONCLUSIONS 3 9 3
REFERENCES 394
INDEX 397 |
| any_adam_object | 1 |
| author2 | Calcagni, Gianluca |
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| author_facet | Calcagni, Gianluca |
| building | Verbundindex |
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| ctrlnum | (OCoLC)819075582 (DE-599)DNB1024629368 |
| dewey-full | 530.142 523.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics 523 - Specific celestial bodies and phenomena |
| dewey-raw | 530.142 523.1 |
| dewey-search | 530.142 523.1 |
| dewey-sort | 3530.142 |
| dewey-tens | 530 - Physics 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Book |
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| spelling | Quantum gravity and quantum cosmology Gianluca Calcagni ... ed. Heidelberg [u.a.] Springer 2013 XII, 399 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Physics 863 Quantenkosmologie (DE-588)4302168-2 gnd rswk-swf Quantengravitation (DE-588)4124012-1 gnd rswk-swf Quantengravitation (DE-588)4124012-1 s Quantenkosmologie (DE-588)4302168-2 s DE-604 Calcagni, Gianluca edt Erscheint auch als Online-Ausgabe 978-3-642-33036-0 Lecture Notes in Physics 863 (DE-604)BV000003166 863 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4093491&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421346&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quantum gravity and quantum cosmology Lecture Notes in Physics Quantenkosmologie (DE-588)4302168-2 gnd Quantengravitation (DE-588)4124012-1 gnd |
| subject_GND | (DE-588)4302168-2 (DE-588)4124012-1 |
| title | Quantum gravity and quantum cosmology |
| title_auth | Quantum gravity and quantum cosmology |
| title_exact_search | Quantum gravity and quantum cosmology |
| title_full | Quantum gravity and quantum cosmology Gianluca Calcagni ... ed. |
| title_fullStr | Quantum gravity and quantum cosmology Gianluca Calcagni ... ed. |
| title_full_unstemmed | Quantum gravity and quantum cosmology Gianluca Calcagni ... ed. |
| title_short | Quantum gravity and quantum cosmology |
| title_sort | quantum gravity and quantum cosmology |
| topic | Quantenkosmologie (DE-588)4302168-2 gnd Quantengravitation (DE-588)4124012-1 gnd |
| topic_facet | Quantenkosmologie Quantengravitation |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4093491&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421346&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT calcagnigianluca quantumgravityandquantumcosmology |