Journal of Holography Applications in Physics

Holographic description of shear viscosity to entropy ratio

Document Type : Regular article

Author

Department of Physics, School of Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran

Abstract

Strongly coupled field theory can be described by calculation of η/s from fluid-gravity duality since this value is proportional to the inverse square coupling of field theory. This ratio should be larger than η/s≥1/4π and it is known as a conjecture in the literature. We calculate the ratio of shear viscosity per entropy density for a dilaton black brane in AdS spacetime. Our result shows that this bound is saturated in this black brane and the field theory dual of our model is the same as field theory dual Einstein gravity.

Keywords

Main Subjects

 

Article PDF

[1] J. M. Maldacena, "The large N limit of superconformal field theories and supergravity", Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)].
[2] G. Policastro, D. T. Son, and A. O. Starinets, "The shear viscosity of strongly coupled N = 4 supersymmetric yang-mills plasma", Phys. Rev. Lett. 87, 081601 (2001).
[3] S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, "Nonlinear fluid dynamics from gravity", JHEP 0802, 045 (2008).
[4] C. J. Gao and S. N. Zhang, "Higher dimensional dilaton black holes with cosmological constant", Phys. Lett. B 605, 185 (2005).
[5] P. Kovtun, D. T. Son, and A. O. Starinets, "Viscosity in strongly interacting quantum field theories from black hole physics", Phys. Rev. Lett. 94, 111601 (2005).
[6] A. Buchel and J. T. Liu, "Universality of the shear viscosity in supergravity", Phys. Rev. Lett. 93, 090602 (2004).
[7] P. Kovtun, D. T. Son and A. O. Starinets, "Viscosity in strongly interacting quantum field theories from black hole physics", Phys. Rev. Lett. 94, 111601 (2005).
[8] M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, "Viscosity Bound Violation in Higher Derivative Gravity", Phys. Rev. D 77, 126006 (2008).
Journal of Holography Applications in Physics
Volume 2, Issue 2
May 2022
Pages 57-64
  • Receive Date: 09 March 2022
  • Revise Date: 15 April 2022
  • Accept Date: 29 April 2022