Holographic entanglement entropy and confinement

Journal of High Energy Physics

Volumn 2012, Issue 5, 2012, Pages

  Lewkowycz, Aitor ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

AdS CFT correspondence; Confinement; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 84861906316     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2012)032     Document Type: Article

References (33)

1. T. Nishioka, S. Ryu and T. Takayanagi, Holographic entanglement entropy: an overview, J. Phys. A 42 (2009) 504008 [arXiv:0905.0932] [iNSPIRE].
2. P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory, J. Stat. Mech. 0406 (2004) P06002 [hep-th/0405152] [iNSPIRE].
3. H. Casini and M. Huerta, A c-theorem for the entanglement entropy, J. Phys. A 40 (2007) 7031 [cond-mat/0610375] [iNSPIRE].
4. R.C. Myers and A. Sinha, Seeing a c-theorem with holography, Phys. Rev. D 82 (2010) 046006 [arXiv:1006.1263] [iNSPIRE].
5. R.C. Myers and A. Sinha, Holographic c-theorems in arbitrary dimensions, JHEP 01 (2011) 125 [arXiv:1011.5819] [iNSPIRE].
6. R.C. Myers and A. Singh, Comments on holographic entanglement entropy and RG flows, JHEP 04 (2012) 122 [arXiv:1202.2068] [iNSPIRE].
7. A. Kitaev and J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96 (2006) 110404 [hep-th/0510092] [iNSPIRE].
8. M. Levin and X.-G. Wen, Detecting topological order in a ground state wave function, Phys. Rev. Lett. 96 (2006) 110405 [iNSPIRE].
9. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [iNSPIRE].
10. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [iNSPIRE].
11. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [iNSPIRE].
12. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [iNSPIRE].
13. S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [iNSPIRE].
14. M. Headrick and T. Takayanagi, A holographic proof of the strong subadditivity of entanglement entropy, Phys. Rev. D 76 (2007) 106013 [arXiv:0704.3719] [iNSPIRE].
15. L.-Y. Hung, R.C. Myers and M. Smolkin, On holographic entanglement entropy and higher curvature gravity, JHEP 04 (2011) 025 [arXiv:1101.5813] [iNSPIRE].
16. H. Casini, M. Huerta and R.C. Myers, Towards a derivation of holographic entanglement entropy, JHEP 05 (2011) 036 [arXiv:1102.0440] [iNSPIRE].
17. I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [iNSPIRE].
18. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [iNSPIRE].
19. A. Pakman and A. Parnachev, Topological entanglement entropy and holography, JHEP 07 (2008) 097 [arXiv:0805.1891] [iNSPIRE].
20. I. Bah, A. Faraggi, L.A. Pando Zayas and C.A. Terrero-Escalante, Holographic entanglement entropy and phase transitions at finite temperature, Int. J. Mod. Phys. A 24 (2009) 2703 [arXiv:0710.5483] [iNSPIRE].
21. I. Bah, L.A. Pando Zayas and C.A. Terrero-Escalante, Holographic geometric entropy at finite temperature from black holes in global Anti de Sitter spaces, Int. J. Mod. Phys. A 27 (2012) 1250048 [arXiv:0809.2912] [iNSPIRE].
22. M. Fujita, Y. Hatsuda and T. Takayanagi, Probing AdS wormholes by entanglement entropy, JHEP 06 (2011) 141 [arXiv:1104.4907] [iNSPIRE].
23. R.-G. Cai, S. He, L. Li and Y.-L. Zhang, Holographic entanglement entropy in insulator/superconductor transition, arXiv:1203.6620 [iNSPIRE].
24. P. Buividovich and M. Polikarpov, Numerical study of entanglement entropy in SU(2) lattice gauge theory, Nucl. Phys. B 802 (2008) 458 [arXiv:0802.4247] [iNSPIRE].
25. A. Velytsky, Entanglement entropy in d + 1 SU(N) gauge theory, Phys. Rev. D 77 (2008) 085021 [arXiv:0801.4111] [iNSPIRE].
26. C. Csáki, H. Ooguri, Y. Oz and J. Terning, Glueball mass spectrum from supergravity, JHEP 01 (1999) 017 [hep-th/9806021] [iNSPIRE].
27. J.A. Minahan, Glueball mass spectra and other issues for supergravity duals of QCD models, JHEP 01 (1999) 020 [hep-th/9811156] [iNSPIRE].
28. N.R. Constable and R.C. Myers, Spin two glueballs, positive energy theorems and the AdS/CFT correspondence, JHEP 10 (1999) 037 [hep-th/9908175] [iNSPIRE].
29. A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [iNSPIRE].
30. T. Ortin, Gravity and strings, Cambridge University Press, Cambridge U.K. (2004).
31. * flow, JHEP 11 (2003) 031 [hep-th/0305064] [iNSPIRE].
32. * hydrodynamics, Nucl. Phys. B 708 (2005) 451 [hep-th/0406200] [iNSPIRE].
33. * strongly coupled plasma, Nucl. Phys. B 784 (2007) 72 [hep-th/0701142] [iNSPIRE].