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Flat-space quantum gravity in the correspondence
Phys. Rev. D 93, 064049 – Published 22 March, 2016
DOI: https://doi.org/10.1103/PhysRevD.93.064049
Abstract
Motivated by the task of understanding microscopic dynamics of an evolving black hole, we present a scheme describing gauge-fixed continuous time evolution of quantum gravitational processes in asymptotically flat spacetime using the algebra of conformal field theory operators. This allows us to study the microscopic dynamics of the Hawking emission process, although obtaining a full -matrix may require a modification of the minimal scheme. The role of the operator product expansion is to physically interpret the resulting time evolution by decomposing the Hilbert space of the states for the entire system into those for smaller subsystems. We translate the picture of an evaporating black hole previously proposed by the authors into predictions for nonperturbative properties of the conformal field theories that have weakly coupled dual gravitational descriptions. We also discuss a possible relationship between the present scheme and a reference frame change in the bulk.
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References (55)
- S. W. Hawking, Phys. Rev. D 14, 2460 (1976).
- G. ’t Hooft, Nucl. Phys. B335, 138 (1990).
- A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, J. High Energy Phys. 02 (2013) 062.
- J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).
- J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973); J. D. Bekenstein, Phys. Rev. D 9, 3292 (1974).
- S. W. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975); 46, 206 (1976).
- G. ’t Hooft, Salamfestschrift, edited by A. Ali, J. Ellis, and S. Randjbar-Daemi (World Scientific, Singapore, 1994), p. 284.
- L. Susskind, J. Math. Phys. (N.Y.) 36, 6377 (1995).
- L. Susskind, L. Thorlacius, and J. Uglum, Phys. Rev. D 48, 3743 (1993).
- L. Susskind and J. Lindesay, An Introduction to Black Holes, Information and the String Theory Revolution: The Holographic Universe (World Scientific, Singapore, 2005).
- J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
- S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
- H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, Proc. R. Soc. A 269, 21 (1962); R. K. Sachs, 270, 103 (1962).
- B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
- Y. Nomura, F. Sanches, and S. J. Weinberg, Phys. Rev. Lett. 114, 201301 (2015).
- Y. Nomura, F. Sanches, and S. J. Weinberg, J. High Energy Phys. 04 (2015) 158.
- V. Balasubramanian, P. Kraus, and A. Lawrence, Phys. Rev. D 59, 046003 (1999); T. Banks, M. R. Douglas, G. T. Horowitz, and E. Martinec, arXiv:hep-th/9808016; V. Balasubramanian, P. Kraus, A. Lawrence, and S. P. Trivedi, Phys. Rev. D 59, 104021 (1999); I. Bena, 62, 066007 (2000).
- J. Polchinski, arXiv:hep-th/9901076; L. Susskind, AIP Conf. Proc. 493, 98 (1999); V. Balasubramanian, S. B. Giddings, and A. Lawrence, J. High Energy Phys. 03 (1999) 001; S. B. Giddings, Phys. Rev. Lett. 83, 2707 (1999); Phys. Rev. D 61, 106008 (2000).
- A. Hamilton, D. Kabat, G. Lifschytz, and D. A. Lowe, Phys. Rev. D 74, 066009 (2006); 75, 106001 (2007).
- M. Gary, S. B. Giddings, and J. Penedones, Phys. Rev. D 80, 085005 (2009); M. Gary and S. B. Giddings, 80, 046008 (2009).
- I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, J. High Energy Phys. 10 (2009) 079.
- A. L. Fitzpatrick, E. Katz, D. Poland, and D. Simmons-Duffin, J. High Energy Phys. 07 (2011) 023.
- J. Penedones, J. High Energy Phys. 03 (2011) 025; A. L. Fitzpatrick and J. Kaplan, 10 (2012) 127; 10 (2012) 032; S. Raju, Phys. Rev. D 85, 126009 (2012).
- S. El-Showk and K. Papadodimas, J. High Energy Phys. 10 (2012) 106.
- D. Kabat, G. Lifschytz, and D. A. Lowe, Phys. Rev. D 83, 106009 (2011).
- I. Heemskerk, D. Marolf, J. Polchinski, and J. Sully, J. High Energy Phys. 10 (2012) 165.
- A. L. Fitzpatrick and J. Kaplan, J. High Energy Phys. 02 (2013) 054.
- D. Kabat and G. Lifschytz, Phys. Rev. D 89, 066010 (2014); J. High Energy Phys. 09 (2015) 059.
- A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, J. High Energy Phys. 08 (2014) 145; 11 (2015) 200; A. L. Fitzpatrick, J. Kaplan, M. T. Walters, and J. Wang, 09 (2015) 019.
- A. Almheiri, X. Dong, and D. Harlow, J. High Energy Phys. 04 (2015) 163; E. Mintun, J. Polchinski, and V. Rosenhaus, Phys. Rev. Lett. 115, 151601 (2015); F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, J. High Energy Phys. 06 (2015) 149.
- N. Bao, S. Nezami, H. Ooguri, B. Stoica, J. Sully, and M. Walter, J. High Energy Phys. 09 (2015) 130.
- H. Verlinde, arXiv:1505.05069; M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi, and K. Watanabe, Phys. Rev. Lett. 115, 171602 (2015); Y. Nakayama and H. Ooguri, J. High Energy Phys. 10 (2015) 114.
- A. Almheiri, D. Marolf, J. Polchinski, D. Stanford, and J. Sully, J. High Energy Phys. 09 (2013) 018.
- D. Marolf and J. Polchinski, Phys. Rev. Lett. 111, 171301 (2013).
- J. Polchinski, arXiv:1505.08108.
- R. Bousso, J. High Energy Phys. 07 (1999) 004; Rev. Mod. Phys. 74, 825 (2002).
- N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, J. High Energy Phys. 06 (2007) 060.
- C. Asplund and D. Berenstein, Phys. Lett. B 673, 264 (2009).
- Y. Nomura, Found. Phys. 43, 978 (2013).
- Y. Nomura and S. J. Weinberg, Phys. Rev. D 90, 104003 (2014).
- Y. Nakayama and Y. Nomura, Phys. Rev. D 92, 126006 (2015).
- Y. Nomura and S. J. Weinberg, J. High Energy Phys. 10 (2014) 185.
- D. N. Page, Phys. Rev. Lett. 44, 301 (1980).
- Y. Nomura, J. Varela, and S. J. Weinberg, Phys. Rev. D 87, 084050 (2013).
- P. C. W. Davies, S. A. Fulling, and W. G. Unruh, Phys. Rev. D 13, 2720 (1976); S. M. Christensen and S. A. Fulling, 15, 2088 (1977); P. Candelas, 21, 2185 (1980).
- J. B. Hartle and S. W. Hawking, Phys. Rev. D 13, 2188 (1976).
- J. M. Bardeen, Phys. Rev. Lett. 46, 382 (1981); R. Balbinot, Classical Quantum Gravity 1, 573 (1984).
- D. N. Page, Phys. Rev. D 13, 198 (1976).
- W. H. Zurek, Phys. Rev. Lett. 49, 1683 (1982); D. N. Page, 50, 1013 (1983).
- W. G. Unruh and R. M. Wald, Phys. Rev. D 25, 942 (1982).
- A. R. Brown, Phys. Rev. Lett. 111, 211301 (2013).
- W. G. Unruh and R. M. Wald, Phys. Rev. D 29, 1047 (1984).
- P. Hayden and J. Preskill, J. High Energy Phys. 09 (2007) 120; Y. Sekino and L. Susskind, 10 (2008) 065.
- Y. Nomura, Phys. Lett. B 749, 514 (2015).
- Y. Nomura, J. Varela, and S. J. Weinberg, Phys. Lett. B 733, 126 (2014); see also Y. Nomura, J. High Energy Phys. 11 (2011) 063.