EMERGENT GRAVITY, ENTROPY, AND QUANTUM ENTANGLEMENT
Abstract
A brief review of a set of ideas which relate gravity, entropy and quantum entanglement is given. The key idea is that gravity is an emergent or induced, in Sakharov’s sense, phenomenon and it is holographic, as has been suggested by t’Hooft. The low-energy physics is described by effective equations of some mi- croscopical degrees of freedom. It is important that the entanglement entropy of these microscopic constituents across a surface is given by the Bekenstein-Hawking entropy formula. It means that all microscopic details are encoded in macroscopic low-energy constants. It is very similar to what happens in thermodynamics so that gravity, by following the Verlinde suggestion, may be interpreted as an entropic gravity. An explicit realization of this idea appears in a holographic description of entanglement entropy in conformal field theories.
About the Author
D. V. Fursaev
Dubna International University for Nature, Society and Man
Russian Federation
Russian Federation
References
1. Sakharov, A.D. Sov. Phys. Dokl. 12 (1968) 1040.
2. Jacobson, T. Black hole entropy and induced gravity, e-Print: gr-qc/9404039.
3. Fursaev, D.V. Phys. Part. Nucl. 36 (2005) 81, e-Print: gr-qc/0404038.
4. Frolov, V.P. and Fursaev D. V. Class. Quant. Grav. 15 (1998) 2041, e-Print: hepth/9802010.
5. Jacobson, T. Phys. Rev. Lett. 75 (1995) 1260, e-Print: gr-qc/9504004.
6. Verlinde, E. On the Origin of Gravity and the Laws of Newton, e-Print: arXiv:1001.0785 [hep-th].
7. Srednicki, M. Phys. Rev. Lett. 71 (1993) 666, e-Print: hep-th/9303048.
8. Bombelli, L., Koul R.K., Lee J. and Sorkin R.D. Phys. Rev. D34 (1986) 373.
9. Frolov V. and Novikov I. Phys. Rev. D48 (1993) 4545.
10. G t Hooft. Dimensional Reduction in Quantum Gravity, arXiv: gr-qc/9310026.
11. Susskind, L. J. Math. Phys. 36 (1995) 6377, arXiv:hep-th/9409089.
12. Maldacena, J. Adv. Theor. Math. Phys. 2 (1998) 231.
13. Witten, E. Adv. Theor. Math. Phys. 2 (1998) 253.
14. Gubser, S., Klebanov I., Polyakov A. Phys. Lett. B428 (1998) 105.
15. Ryu, S. and Takayanagi T. Phys. Rev. Lett. 96 (2006) 181602, e-Print: hepth/0603001.
16. Ryu, S. and Takayanagi T. JHEP 0608 (2006) 045, e-Print: hep-th/0605073.
17. Fursaev, D.V. Phys. Rev. D77 (2008) 124002, e-Print: arXiv:0711.1221 [hep-th].
18. Lewkowycz, A. and Maldacena J. Generalized gravitational entropy, e-Print: arXiv:1304.4926 [hep-th].
Review
Views:
79
Email this article 