Gauge, gravity duality: foundations and applications
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2015
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Ausgabe: | 1. publ. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 533 S. graph. Darst. |
ISBN: | 9781107010345 1107010349 |
Internformat
MARC
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100 | 1 | |a Ammon, Martin |d 1981- |e Verfasser |0 (DE-588)141913592 |4 aut | |
245 | 1 | 0 | |a Gauge, gravity duality |b foundations and applications |c Martin Ammon ; Johanna Erdmenger |
250 | |a 1. publ. | ||
264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2015 | |
300 | |a XII, 533 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
650 | 4 | |a Condensed matter | |
650 | 4 | |a Particles (Nuclear physics) | |
650 | 4 | |a Gauge fields (Physics) | |
650 | 4 | |a Gravity | |
650 | 4 | |a Duality (Nuclear physics) | |
650 | 4 | |a Mathematische Physik | |
650 | 4 | |a Gauge fields (Physics) | |
650 | 4 | |a Gravity | |
650 | 4 | |a Holography | |
650 | 4 | |a Mathematical physics | |
650 | 0 | 7 | |a Eichtheorie |0 (DE-588)4122125-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Gravitationstheorie |0 (DE-588)4158117-9 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Eichtheorie |0 (DE-588)4122125-4 |D s |
689 | 0 | 1 | |a Gravitationstheorie |0 (DE-588)4158117-9 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Erdmenger, Johanna |d 1969- |e Verfasser |0 (DE-588)129410284 |4 aut | |
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999 | |a oai:aleph.bib-bvb.de:BVB01-027818913 |
Datensatz im Suchindex
_version_ | 1804153026738388992 |
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adam_text | Contents
Preface page ix
Acknowledgements xiii
Part I Prerequisites i
1 Elements of field theory 3
1.1 Classical scalar field theory 3
1.2 Symmetries and conserved currents 6
1.3 Quantisation 9
1.4 Wick rotation and statistical mechanics 18
1.5 Régularisation and renormalisation 19
1.6 Dirac fermions 28
1.7 Gauge theory 30
1.8 Symmetries, Ward identities and anomalies 45
1.9 Further reading 48
References 48
2 Elements of gravity 50
2.1 Differential geometry 50
2.2 Einstein’s field equations 65
2.3 Maximally symmetric spacetimes 66
2.4 Black holes 76
2.5 Energy conditions 88
2.6 Further reading 89
References 89
3 Symmetries in quantum field theory 91
3.1 Lorentz and Poincaré symmetry 91
3.2 Conformal symmetry 102
3.3 Supersymmetry 118
3.4 Superconformai symmetry 139
3.5 Further reading 143
References 143
v
VI
Contents
4 Introduction to superstring theory 145
4.1 Bosonic string theory 145
4.2 Superstring theory 156
4.3 Web of dualities 164
4.4 D-branes and other non-perturbative objects 168
4.5 Further reading 174
References 174
Partii Gauge/GravityDuality ill
5 The AdS/CFT correspondence 179
5.1 The AdS/CFT correspondence: a first glance 180
5.2 D3-branes and their two faces 182
5.3 Field-operator map 189
5.4 Correlation functions 196
5.5 Holographic renormalisation 204
5.6 Wilson loops in J T = 4 Super Yang-Mills theory 211
5.7 Further reading 216
References 216
6 Tests of the AdS/CFT correspondence 219
6.1 Correlation function of 1/2 BPS operators 220
6.2 Four-point functions 229
6.3 The conformal anomaly 233
6.4 Further reading 237
References 238
7 Integrality and scattering amplitudes 240
7.1 Integrable structures on the gauge theory side 241
7.2 Integrability on the gravity (string theory) side 248
7.3 BMN limit and classical string configurations 254
7.4 Dual superconformai symmetry 258
7.5 Further reading 271
References 271
8 Further examples of the AdS/CFT correspondence 273
8.1 D3-branes at singularities 273
8.2 M2-branes: AdS4/CFT3 278
8.3 Gravity duals of conformal field theories: further examples 287
8.4 Towards non-conformal field theories 289
8.5 Further reading 294
References 294
VII
Contents
9 Holographic renormalisation group flows 296
9.1 Renormalisation group flows in quantum field theory 296
9.2 Holographic renormalisation group flows 302
9.3 * Supersymmetric flows within IIB Supergravity in D = 10 308
9.4 Further reading 323
References 324
10 Duality with D-branes in supergravity 326
10.1 Branes as flavour degrees of freedom 326
10.2 AdS/CFT correspondence with probe branes 331
10.3 D7-brane fluctuations and mesons in N = 2 theory 335
10.4 *D3/D5-brane system 340
10.5 Further reading 342
References 343
11 Finite temperature and density 344
11.1 Finite temperature field theory 344
11.2 Gravity dual thermodynamics 352
11.3 Finite density and chemical potential 362
11.4 Further reading 365
References 365
Part III Applications 367
12 Linear response and hydrodynamics 369
12.1 Linear response 370
12.2 Hydrodynamics 380
12.3 Transport coefficients from linear response 384
12.4 Fluid/gravity correspondence 389
12.5 Further reading 396
References 396
13 QCD and holography: confinement and chiral symmetry breaking 399
13.1 Review of QCD 399
13.2 Gauge/gravity duality description of confinement 405
13.3 Chiral symmetry breaking from D7-brane probes 413
13.4 Non-Abelian chiral symmetries: the Sakai-Sugimoto model 421
13.5 AdS/QCD correspondence 426
13.6 Further reading 430
References 431
Vili
Contents
14 QCD and holography: finite temperature and density 435
14.1 QCD at finite temperature and density 435
14.2 Gauge/gravity approach to the quark-gluon plasma 438
14.3 Holographic flavour at finite temperature and density 445
14.4 Sakai-Sugimoto model at finite temperature 454
14.5 Holographic predictions for the quark-gluon plasma 455
14.6 Further reading 456
References 457
15 Strongly coupled condensed matter systems 460
15.1 Quantum phase transitions 461
15.2 Charges and finite density 463
15.3 Holographic superfluids and superconductors 477
15.4 Fermions 485
15.5 Towards non-relativistic systems and hyperscaling violation 489
15.6 Entanglement entropy 496
15.7 Further reading 501
References 502
Appendix A Grassmann numbers 505
Appendix В Lie algebras and superalgebras 508
Appendix C Conventions 526
Index
527
|
any_adam_object | 1 |
author | Ammon, Martin 1981- Erdmenger, Johanna 1969- |
author_GND | (DE-588)141913592 (DE-588)129410284 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.14/35 |
dewey-search | 530.14/35 |
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discipline | Physik |
edition | 1. publ. |
format | Book |
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isbn | 9781107010345 1107010349 |
language | English |
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physical | XII, 533 S. graph. Darst. |
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spelling | Ammon, Martin 1981- Verfasser (DE-588)141913592 aut Gauge, gravity duality foundations and applications Martin Ammon ; Johanna Erdmenger 1. publ. Cambridge Cambridge Univ. Press 2015 XII, 533 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Condensed matter Particles (Nuclear physics) Gauge fields (Physics) Gravity Duality (Nuclear physics) Mathematische Physik Holography Mathematical physics Eichtheorie (DE-588)4122125-4 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Eichtheorie (DE-588)4122125-4 s Gravitationstheorie (DE-588)4158117-9 s DE-604 Erdmenger, Johanna 1969- Verfasser (DE-588)129410284 aut Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027818913&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Ammon, Martin 1981- Erdmenger, Johanna 1969- Gauge, gravity duality foundations and applications Condensed matter Particles (Nuclear physics) Gauge fields (Physics) Gravity Duality (Nuclear physics) Mathematische Physik Holography Mathematical physics Eichtheorie (DE-588)4122125-4 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
subject_GND | (DE-588)4122125-4 (DE-588)4158117-9 |
title | Gauge, gravity duality foundations and applications |
title_auth | Gauge, gravity duality foundations and applications |
title_exact_search | Gauge, gravity duality foundations and applications |
title_full | Gauge, gravity duality foundations and applications Martin Ammon ; Johanna Erdmenger |
title_fullStr | Gauge, gravity duality foundations and applications Martin Ammon ; Johanna Erdmenger |
title_full_unstemmed | Gauge, gravity duality foundations and applications Martin Ammon ; Johanna Erdmenger |
title_short | Gauge, gravity duality |
title_sort | gauge gravity duality foundations and applications |
title_sub | foundations and applications |
topic | Condensed matter Particles (Nuclear physics) Gauge fields (Physics) Gravity Duality (Nuclear physics) Mathematische Physik Holography Mathematical physics Eichtheorie (DE-588)4122125-4 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
topic_facet | Condensed matter Particles (Nuclear physics) Gauge fields (Physics) Gravity Duality (Nuclear physics) Mathematische Physik Holography Mathematical physics Eichtheorie Gravitationstheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027818913&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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