From gravity to thermal Gauge theories: the AdS/CFT correspondence
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| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Series: | Lecture notes in physics
828 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 425 S. Ill., graph. Darst. |
| ISBN: | 9783642048630 |
Staff View
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| 245 | 1 | 0 | |a From gravity to thermal Gauge theories |b the AdS/CFT correspondence |c Eleftherios Papantonopoulos (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2011 | |
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| adam_text | IMAGE 1
CONTENTS
PART I INTRODUCTION TO THE ADS/CFT CORRESPONDENCE 1 INTRODUCTION TO ANTI
DE SITTER BLACK HOLES 3
1. 1 SPACETIMES OF CONSTANT CURVATURE 3
1.1.1 SPACES OF MAXIMAL SYMMETRY AND CONSTANT CURVATURE 3
1.1.2 FLAT SPACETIME 5
1.1.3 ANTI DE SITTER SPACETIME 7
1.2 STATIC BLACK HOLES 15
1.2.1 BASIC PROPERTIES 15
1.2.2 THERMODYNAMICS 18
1.3 BEYOND STATIC BLACK HOLES 21
REFERENCES 25
2 PERTURBATIONS OF ANTI DE SITTER BLACK HOLES 27
2.1 INTRODUCTION 27
2.2 PERTURBATIONS 28
2.2.1 SCALAR PERTURBATIONS 29
2.2.2 GRAVITATIONAL PERTURBATIONS 32
2.2.3 ELECTROMAGNETIC PERTURBATIONS 37
2.3 HYDRODYNAMICS 38
2.3.1 VECTOR PERTURBATIONS 38
2.3.2 SCALAR PERTURBATIONS 43
2.3.3 TENSOR PERTURBATIONS 46
2.3.4 HYDRODYNAMICS ON THE ADS BOUNDARY 47
2.3.5 CONFORMAL SOLITON FLOW 48
2.4 PHASE TRANSITIONS 49
2.4.1 K = 0 49
2.4.2 K=- 51
2.5 CONCLUSION 55
REFERENCES 55
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000034755
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
INTRODUCTION TO THE ADS/CFT CORRESPONDENCE 57
3.1 INTRODUCTION 57
3.2 CFTS 58
3.2.1 CONFORMED ALGEBRA 58
3.2.2 LOCAL FIELD OPERATORS 59
3.2.3 CONFORMAL CORRELATORS 60
3.3 ADS/CFT CORRESPONDENCE 62
3.3.1 ADS GEOMETRY 62
3.3.2 PARTITION FUNCTION 64
3.3.3 SEMI-CLASSICAL GRAVITY LIMIT 65
3.4 LARGE N 67
3.5 D3-BRANES AND ADS 5 X S 5 68
3.5.1 SYM FROM D-BRANES 69
3.5.2 D3-BRANE NEAR HORIZON GEOMETRY 70
3.5.3 STRONG/WEAK DUALITY 71
3.6 EXTENSIONS 72
REFERENCES ; 74
PART N HOLOGRAPHY AND THE ADS/CFT CORRESPONDENCE
4 IMPROVED HOLOGRAPHIC QCD 79
4.1 INTRODUCTION 80
4.2 THE 5D MODEL 85
4.3 SCHEME DEPENDENCE 88
4.4 THE POTENTIAL AND THE PARAMETERS OF THE MODEL 91
4.4.1 THE NORMALIZATION OF THE COUPLING CONSTANT X 92 4.4.2 THE ADS
SCALE I 93
4.4.3 THE UV EXPANSION COEFFICIENTS OF V{X) 93
4.4.4 THE 5D PLANCK SCALE M P 94
4.4.5 THE STRING LENGTH 95
4.4.6 INTEGRATION CONSTANTS 95
4.5 MATCHING THE THERMODYNAMICS OF LARGE-N C YM 96
4.5.1 LATENT HEAT AND EQUATION OF STATE 99
4.5.2 GLUEBALL SPECTRUM 101
4.5.3 CRITICAL TEMPERATURE 103
4.5.4 STRING TENSION 104
4.5.5 CP-ODD SECTOR 105
4.5.6 COUPLING NORMALIZATION 107
4.6 BULK VISCOSITY 108
4.6.1 THE HOLOGRAPHIC COMPUTATION 109
4.6.2 HOLOGRAPHIC EXPLANATION FOR THE RISE OF US NEAR T C 113
IMAGE 3
CONTENTS
4.6.3 THE ADIABATIC APPROXIMATION 116
4.6.4 BUCHEL S BOUND 118
4.7 THE DRAG FORCE ON STRINGS AND HEAVY QUARKS 120
4.7.1 THE DRAG FORCE 122
4.7.2 THE RELATIVISTIC ASYMPTOTICS 124
4.7.3 THE NON-RELATIVISTIC ASYMPTOTICS 126
4.7.4 THE DIFFUSION TIME 126
4.7.5 INCLUDING THE CORRECTION TO THE QUARK MASS 127 4.7.6 TEMPERATURE
MATCHING AND DIFFUSION TIME ESTIMATES 129
4.8 JET QUENCHING PARAMETER 132
4.9 DISCUSSION AND OUTLOOK 139
4.9.1 BULK VISCOSITY 140
4.9.2 DRAG FORCE 141
4.9.3 DIFFUSION TIME 141
4.9.4 JET QUENCHING 141
REFERENCES 142
THE DYNAMICS OF QUARK-GLUON PLASMA AND ADS/CFT 147 5.1 INTRODUCTION 147
5.2 THE ADS/CFT CORRESPONDENCE 150
5.2.1 EFFECTIVE DEGREES OF FREEDOM AT STRONG COUPLING . .. 150 5.3 WHY
STUDY N = 4 PLASMA? 151
5.4 THE ADS/CFT FOR STUDYING REAL-TIME DYNAMICS OF PLASMA... 152 5.4.1
THE GRAVITY - * (T^) DICTIONARY 154
5.4.2 THE (T^) -» GRAVITY DICTIONARY 154
5.5 EXACT ANALYTICAL EXAMPLES 155
5.5.1 A CASE STUDY: STATIC UNIFORM PLASMA 156
5.5.2 A CASE STUDY: A PLANAR SHOCK WAVE 159
5.6 BOOST-INVARIANT ROW 159
5.7 LARGE PROPER TIME BEHAVIOUR 161
5.7.1 THE ADS/CFT ANALYSIS 162
5.7.2 PERFECT FLUID GEOMETRY 164
5.8 PLASMA DYNAMICS BEYOND PERFECT FLUID 165
5.9 INTERLUDE: HYDRODYNAMICS REDUX 167
5.10 PLASMA DYNAMICS BEYOND HYDRODYNAMICS 169
5.11 DYNAMICS AT SMALL PROPER TIME 170
5.11.1 THE ABSENCE OF A SCALING VARIABLE 170
5.11.2 THE EXISTENCE OF A REGULAR INITIAL CONDITION 171 5.11.3 THE
CLASSIFICATION OF POSSIBLE INITIAL CONDITIONS . . .. 172 5.11.4 AN
ANALYSIS OF SOME ASPECTS OF THE SMALL PROPER TIME BEHAVIOUR OF E(T) 174
5.12 CONCLUSIONS 175
APPENDIX 177
REFERENCES 178
IMAGE 4
XII CONTENTS
6 FLUID DYNAMICS FROM GRAVITY 1 83
6.1 INTRODUCTION 183
6.1.1 QUANTUM GRAVITY 184
6.1.2 UNIVERSAL IMPLICATIONS 185
6.1.3 QCD 185
6.1.4 FLUID DYNAMICS 186
6.2 BACKGROUND 187
6.2.1 CONFORMAL FLUID DYNAMICS 187
6.2.2 GRAVITY IN THE BULK 188
6.2.3 FLUID/GRAVITY MAP 189
6.3 CONSTRUCTION OF BULK METRIC AND BOUNDARY STRESS T E N S O R . . ..
191 6.3.1 OTH ORDER 191
6.3.2 1ST ORDER 192
6.4 SOLUTION TO SECOND ORDER 194
6.4.1 THE FOUR-DIMENSIONAL CONFORMAL FLUID FROM ADSS. .. 195 6.4.2 THE
SPACETIME GEOMETRY DUAL TO FLUIDS 196
6.5 SUMMARY 199
REFERENCES 202
7 THE GAUGE-GRAVITY DUALITY AND HEAVY ION COLLISIONS 205 7.1 THE WAKE OF
A QUARK 206
7.1.1 JET CORRELATIONS AT RHIC 206
7.1.2 A HOLOGRAPHIC COMPUTATION 208
7.2 ENTROPY PRODUCTION 219
REFERENCES 230
8 ADS/CFT ON THE BRANE 235
8.1 INTRODUCTION 235
8.2 BRANEWORLDS IN ADS SPACETIME 237
8.2.1 RS MODELS 237
8.2.2 COSMOLOGY 238
8.3 VIEW FROM THE BRANE 241
8.3.1 ADS/CFT CORRESPONDENCE 241
8.3.2 GEOMETRICAL HOLOGRAPHY 242
8.4 DOES ADS/CFT PLAY ANY ROLE IN BRANEWORLD? 243
8.4.1 SINGLE-BRANE MODEL 244
8.4.2 TWO-BRANE MODEL 245
8.5 GRADIENT EXPANSION METHOD 245
8.6 SINGLE BRANE MODEL (RS2) 248
8.6.1 EINSTEIN GRAVITY AT LOWEST ORDER 248
8.6.2 ADS/CFT EMERGES 250
8.7 TWO-BRANE MODEL (RSI) 253
8.7.1 SCALAR-TENSOR THEORY EMERGES 253
8.7.2 ADS/CFT IN TWO-BRANE SYSTEM? 254
IMAGE 5
CONTENTS
8.8 THE ANSWERS 258
8.8.1 SINGLE-BRANE MODEL 258
8.8.2 TWO-BRANE MODEL 259
8.9 ADS/CFT IN DILATONIC BRANEWORLD 260
8.9.1 DILATONIC BRANEWORLD 261
8.9.2 ADS/RADION CORRESPONDENCE 262
8.9.3 ADS/CFT AND KK CORRECTIONS: SINGLE-BRANE CASES... 267 8.10
CONCLUSION 267
REFERENCES 268
PART M CONDENSED MATTER AND THE ADS/CFT CORRESPONDENCE
9 CONDENSED MATTER AND ADS/CFT 273
9.1 INTRODUCTION 273
9.2 MODEL SYSTEMS AND THEIR CRITICAL THEORIES 275
9.2.1 COUPLED DIMER ANTIFERROMAGNETS 275
9.2.2 DECONFINED CRITICALITY 276
9.2.3 GRAPHENE 278
9.3 FINITE TEMPERATURE CROSSOVERS 279
9.4 QUANTUM CRITICAL TRANSPORT 282
9.5 EXACT RESULTS FOR QUANTUM CRITICAL TRANSPORT 285
9.6 HYDRODYNAMIC THEORY 287
9.6.1 RELATIVISTIC MAGNETOHYDRODYNAMICS 288
9.6.2 DYONIC BLACK HOLE 289
9.6.3 RESULTS 290
9.7 RF-WAVE SUPERCONDUCTORS 292
9.7.1 DIRAC FERMIONS 292
9.7.2 TIME-REVERSAL SYMMETRY BREAKING 294
9.7.3 NEMATIC ORDERING 299
9.8 METALS 300
9.8.1 FIELD THEORIES 303
9.8.2 SYMMETRIES 303
9.8.3 SCALING THEORY 305
9.8.4 LARGE N EXPANSION 306
9.8.5 ADS/CFT CORRESPONDENCE 308
REFERENCES 309
10 INTRODUCTION TO HOLOGRAPHIC SUPERCONDUCTORS 313
10.1 INTRODUCTION 313
10.1.1 SUPERCONDUCTIVITY 314
10.2 A GRAVITATIONAL DUAL 316
IMAGE 6
XIV CONTENTS
10.3 PROBE LIMIT 318
10.3.1 CONDENSATE 318
10.3.2 CONDUCTIVITY 324
10.4 FULL SOLUTION WITH BACKREACTION 327
10.4.1 REFORMULATION OF THE CONDUCTIVITY 330
10.5 ZERO TEMPERATURE LIMIT 332
10.5.1 M 2 = 0 333
10.5.2 Q 2 M 2 /6 (M 2 0) 335
10.6 ADDING MAGNETIC FIELDS 336
10.6.1 LONDON EQUATION 338
10.6.2 CORRELATION LENGTH 339
10.6.3 VORTICES 339
10.7 RECENT DEVELOPMENTS 340
10.8 CONCLUSIONS AND OPEN PROBLEMS 342
10.8.1 OPEN PROBLEMS 343
REFERENCES 344
11 FLAVOR SUPERCONDUCTIVITY AND SUPERFLUIDITY 349
11.1 INTRODUCTION 349
11.1.1 STRING MOTIVATION 350
11.1.2 CONDENSED MATTER MOTIVATION 351
11.2 SUPERCONDUCTIVITY AND HOLOGRAPHY 352
11.2.1 BASICS OF SUPERCONDUCTIVITY AND OUR FIELD THEORY IDEA 352
11.2.2 HOLOGRAPHIC REALIZATION 356
11.3 HOLOGRAPHIC SETUP 358
11.3.1 FLAVOR FROM INTERSECTING BRANES 358
11.3.2 BACKGROUND AND BRANE CONFIGURATION 363
11.3.3 DBI ACTION AND EQUATIONS OF MOTION 365
11.4 D-BRANE THERMODYNAMICS AND SPECTRUM 371
11.4.1 BARYON CHEMICAL POTENTIAL 371
11.4.2 ISOSPIN CHEMICAL POTENTIAL 375
11.4.3 INSTABILITIES AND THE NEW PHASE 376
11.5 SIGNATURES OF SUPER-SOMETHING 376
11.5.1 THERMODYNAMICS OF THE BROKEN PHASE 376
11.5.2 FLUCTUATIONS IN THE BROKEN PHASE 380
11.5.3 CONDUCTIVITY AND SPECTRUM 383
11.5.4 MEISSNER-OCHSENFELD-EFFECT 384
11.6 INTERPRETATION AND CONCLUSION 389
11.6.1 STRING THEORY PICTURE 389
11.6.2 SUMMARY 390
11.6.3 OUTLOOK 391
REFERENCES 392
IMAGE 7
CONTENTS XV
12 HOLOGRAPHIE TORSION AND THE PRELUDE TO KALB-RAMOND SUPERCONDUCTIVITY
395
12.1 INTRODUCTION AND SUMMARY OF THE RESULTS 395
12.2 TORSION AS THE NON-TRIVIAL MAGNETIC FIELD OF GRAVITY 397 12.2.1
ELECTROMAGNETISM WITH A 0(JT)-ANGLE IN ADS 4 397 12.3 DETAILS ON THE THE
3 + 1-SPLIT FORMALISM 399
12.3.1 THE ANALOG OF 6- ANGLE IN GRAVITY 402
12.3.2 TORSION AND THE MAGNETIC FIELD OF GRAVITY 403 12.4 THE NIEH-YAN
MODELS 404
12.4.1 GENERAL ASPECTS 404
12.4.2 THE 3 + 1-SPLIT OF THE PSEUDOSCALAR NIEH-YAN MODEL 406
12.5 THE TORSION DOMAIN WALL 407
12.6 THE GRAVITY DUAL OF PARITY SYMMETRY BREAKING 410 12.7 PHYSICS IN
THE BULK: THE SUPERCONDUCTOR ANALOGY 412 12.7.1 TORSION DOMAIN WALL
VERSUS ABRIKOSOV VORTEX . . .. 413 12.7.2 DOMAIN WALL CONDENSATION 414
12.8 CONCLUSIONS 417
APPENDIX 418
REFERENCES 420
INDEX 423
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | From gravity to thermal Gauge theories the AdS/CFT correspondence Eleftherios Papantonopoulos (ed.) Berlin [u.a.] Springer 2011 XVIII, 425 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 828 Kondensierte Materie (DE-588)4132810-3 gnd rswk-swf AdS-CFT-Korrespondenz (DE-588)7752120-1 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Stringtheorie (DE-588)4224278-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2009 Adamas gnd-content AdS-CFT-Korrespondenz (DE-588)7752120-1 s Stringtheorie (DE-588)4224278-2 s Gravitationstheorie (DE-588)4158117-9 s Kondensierte Materie (DE-588)4132810-3 s DE-604 Papantōnopulos, Eleutherios 1951- (DE-588)1057711896 edt Erscheint auch als Online-Ausgabe 978-3-642-04864-7 Lecture notes in physics 828 (DE-604)BV000003166 828 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022496533&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | From gravity to thermal Gauge theories the AdS/CFT correspondence Lecture notes in physics Kondensierte Materie (DE-588)4132810-3 gnd AdS-CFT-Korrespondenz (DE-588)7752120-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd Stringtheorie (DE-588)4224278-2 gnd |
| subject_GND | (DE-588)4132810-3 (DE-588)7752120-1 (DE-588)4158117-9 (DE-588)4224278-2 (DE-588)1071861417 |
| title | From gravity to thermal Gauge theories the AdS/CFT correspondence |
| title_auth | From gravity to thermal Gauge theories the AdS/CFT correspondence |
| title_exact_search | From gravity to thermal Gauge theories the AdS/CFT correspondence |
| title_full | From gravity to thermal Gauge theories the AdS/CFT correspondence Eleftherios Papantonopoulos (ed.) |
| title_fullStr | From gravity to thermal Gauge theories the AdS/CFT correspondence Eleftherios Papantonopoulos (ed.) |
| title_full_unstemmed | From gravity to thermal Gauge theories the AdS/CFT correspondence Eleftherios Papantonopoulos (ed.) |
| title_short | From gravity to thermal Gauge theories |
| title_sort | from gravity to thermal gauge theories the ads cft correspondence |
| title_sub | the AdS/CFT correspondence |
| topic | Kondensierte Materie (DE-588)4132810-3 gnd AdS-CFT-Korrespondenz (DE-588)7752120-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd Stringtheorie (DE-588)4224278-2 gnd |
| topic_facet | Kondensierte Materie AdS-CFT-Korrespondenz Gravitationstheorie Stringtheorie Konferenzschrift 2009 Adamas |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022496533&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT papantonopuloseleutherios fromgravitytothermalgaugetheoriestheadscftcorrespondence |