Strongly coupled gauge theories: High and low temperature behavior of non-local observables

Journal of High Energy Physics

Volumn 2013, Issue 5, 2013, Pages

  Fischler, Willy ^a   Kundu, Sandipan ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

AdS CFT Correspondence; Classical Theories of Gravity; Strong Coupling Expansion; Thermal Field Theory

Indexed keywords

EID: 84878911689     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2013)098     Document Type: Article

References (56)

1. M. Dine and W. Fischler, The thermodynamics of the nonlinear σ-model: a toy for high temperature qcd, Phys. Lett. B 105 (1981) 207.
2. D.J. Gross, R.D. Pisarski and L.G. Yaffe, QCD and Instantons at Finite Temperature, Rev. Mod. Phys. 53 (1981) 43.
3. H.A. Weldon, Covariant Calculations at Finite Temperature: The Relativistic Plasma, Phys. Rev. D 26 (1982) 1394.
4. N. Landsman and C. van Weert, Real and Imaginary Time Field Theory at Finite Temperature and Density, Phys. Rept. 145 (1987) 141.
5. E. Braaten and R.D. Pisarski, Soft Amplitudes in Hot Gauge Theories: A General Analysis, Nucl. Phys. B 337 (1990) 569.
6. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [ hep-th/9803131 ].
7. S.-J. Rey, S. Theisen and J.-T. Yee, Wilson-Polyakov loop at finite temperature in large-N gauge theory and anti-de Sitter supergravity, Nucl. Phys. B 527 (1998) 171 [ hep-th/9803135 ].
8. E. Shuryak, Physics of Strongly coupled quark-gluon Plasma, Prog. Part. Nucl. Phys. 62 (2009) 48 [ arXiv:0807.3033 ].
9. M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009) 232001 [ arXiv:0907.3719 ].
10. E. Megias, H. Pirner and K. Veschgini, QCD thermodynamics using five-dimensional gravity, Phys. Rev. D 83 (2011) 056003 [ arXiv:1009.2953 ].
11. M. Mojaza, C. Pica and F. Sannino, Hot Conformal Gauge Theories, Phys. Rev. D 82 (2010) 116009 [ arXiv:1010.4798 ].
12. P. Petreczky, Lattice QCD at non-zero temperature, J. Phys. G 39 (2012) 093002 [ arXiv:1203.5320 ].
13. J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [ hep-th/9711200 ].
14. 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 ].
15. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [ hep-th/9802150 ].
16. 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 ].
17. L. Susskind and E. Witten, The Holographic bound in anti-de Sitter space, hep-th/9805114.
18. D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [ hep-th/0205051 ].
19. C. Herzog and D. Son, Schwinger-Keldysh propagators from AdS/CFT correspondence, JHEP 03 (2003) 046 [ hep-th/0212072 ].
20. D.T. Son and A.O. Starinets, Viscosity, Black Holes and Quantum Field Theory, Ann. Rev. Nucl. Part. Sci. 57 (2007) 95 [ arXiv:0704.0240 ].
21. V.E. Hubeny, Extremal surfaces as bulk probes in AdS/CFT, JHEP 07 (2012) 093 [ arXiv:1203.1044 ].
22. T. Banks, M.R. Douglas, G.T. Horowitz and E.J. Martinec, AdS dynamics from conformal field theory, hep-th/9808016.
23. V. Balasubramanian and S.F. Ross, Holographic particle detection, Phys. Rev. D 61 (2000) 044007 [ hep-th/9906226 ].
24. J. Louko, D. Marolf and S.F. Ross, On geodesic propagators and black hole holography, Phys. Rev. D 62 (2000) 044041 [ hep-th/0002111 ].
25. L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The Black hole singularity in AdS/CFT, JHEP 02 (2004) 014 [ hep-th/0306170 ].
26. G. Festuccia and H. Liu, Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I., JHEP 04 (2006) 044 [ hep-th/0506202 ]. (Pubitemid 43684627)
27. J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [ hep-th/9803002 ].
28. A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, Wilson loops in the large-N limit at finite temperature, Phys. Lett. B 434 (1998) 36 [ hep-th/9803137 ].
29. A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, Wilson loops, confinement and phase transitions in large-N gauge theories from supergravity, JHEP 06 (1998) 001 [ hep-th/9803263 ].
30. J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618.
31. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [ hep-th/0603001 ].
32. V.E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal, JHEP 07 (2007) 062 [ arXiv:0705.0016 ].
33. T. Nishioka, S. Ryu and T. Takayanagi, Holographic Entanglement Entropy: An Overview, J. Phys. A 42 (2009) 504008 [ arXiv:0905.0932 ].
34. L. Bombelli, R.K. Koul, J. Lee and R.D. Sorkin, A Quantum Source of Entropy for Black Holes, Phys. Rev. D 34 (1986) 373.
35. M. Srednicki, Entropy and area, Phys. Rev. Lett. 71 (1993) 666 [ hep-th/9303048 ].
36. H. Casini, Geometric entropy, area and strong subadditivity, Class. Quant. Grav. 21 (2004) 2351 [ hep-th/0312238 ]. (Pubitemid 38671061)
37. M. Plenio, J. Eisert, J. Dreissig and M. Cramer, Entropy, entanglement and area: analytical results for harmonic lattice systems, Phys. Rev. Lett. 94 (2005) 060503 [ quant-ph/0405142 ]. (Pubitemid 40620760)
38. M. Cramer, J. Eisert, M. Plenio and J. Dreissig, An Entanglement-area law for general bosonic harmonic lattice systems, Phys. Rev. A 73 (2006) 012309 [ quant-ph/0505092 ].
39. S. Das and S. Shankaranarayanan, How robust is the entanglement entropy: Area relation?, Phys. Rev. D 73 (2006) 121701 [ gr-qc/0511066 ].
40. C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory, Nucl. Phys. B 424 (1994) 443 [ hep-th/9403108 ].
41. P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory, J. Stat. Mech. 0406 (2004) P06002 [ hep-th/0405152 ].
42. 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 ].
43. S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [ arXiv:0808.1725 ].
44. L. Huijse, S. Sachdev and B. Swingle, Hidden Fermi surfaces in compressible states of gauge-gravity duality, Phys. Rev. B 85 (2012) 035121 [ arXiv:1112.0573 ].
45. M. Alishahiha, E. O Colgain and H. Yavartanoo, Charged Black Branes with Hyperscaling Violating Factor, JHEP 11 (2012) 137 [ arXiv:1209.3946 ].
46. X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, Aspects of holography for theories with hyperscaling violation, JHEP 06 (2012) 041 [ arXiv:1201.1905 ].
47. W. Fischler, A. Kundu and S. Kundu, Holographic Mutual Information at Finite Temperature, arXiv:1212.4764.
48. S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy, JHEP 08 (2006) 045 [ hep-th/0605073 ]. (Pubitemid 44330349)
49. M.M. Wolf, F. Verstraete, M.B. Hastings and J.I. Cirac, Area Laws in Quantum Systems: Mutual Information and Correlations, Physical Review Letters 100 (2008), no. 7 070502 [ arXiv:0704.3906 ]. (Pubitemid 351393592)
50. J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy, JHEP 11 (2010) 149 [ arXiv:1006.4090 ].
51. J. Aparicio and E. Lopez, Evolution of Two-Point Functions from Holography, JHEP 12 (2011) 082 [ arXiv:1109.3571 ].
52. T. Albash and C.V. Johnson, Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches, New J. Phys. 13 (2011) 045017 [ arXiv:1008.3027 ].
53. V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps et al., Thermalization of Strongly Coupled Field Theories, Phys. Rev. Lett. 106 (2011) 191601 [ arXiv:1012.4753 ].
54. V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps et al., Holographic Thermalization, Phys. Rev. D 84 (2011) 026010 [ arXiv:1103.2683 ].
55. D. Galante and M. Schvellinger, Thermalization with a chemical potential from AdS spaces, JHEP 07 (2012) 096 [ arXiv:1205.1548 ].
56. E. Caceres and A. Kundu, Holographic Thermalization with Chemical Potential, JHEP 09 (2012) 055 [ arXiv:1205.2354 ].