Abstract
The shear viscosity bound violation in Einstein gravity for anisotropic black branes is discussed, with the aim of constraining the deviation of the shear viscosity-entropy density ratio from the shear viscosity bound using causality and thermodynamics analysis. The results show that no stringent constraints can be imposed. The diffusion bound in anisotropic phases is also studied. Ultimately, it is concluded that shear viscosity violation always occurs in cases where the equation of motion of the metric fluctuations cannot be written in a form identical to that of the minimally coupled massless scalar fields.
Similar content being viewed by others
References
S. A. Hartnoll, Nat. Phys. 11, 54 (2015).
J. R. Schrieffer, and J. S. Brooks, Handbook of High Temperature Supercodncutvitity (Springer Press, Berlin, 2007)
E. Shuryak, Prog. Part. Nucl. Phys. 53, 273 (2004).
C. Cao, E. Elliott, J. Joseph, H. Wu, J. Petricka, T. Schafer, and J. E. Thomas, Science 331, 58 (2011).
A. Rebhan, and D. Steineder, Phys. Rev. Lett. 108, 021601 (2012).
K. A. Mamo, J. High Energy Phys. 1210 070 (2012).
N. Pakhira, and R. H. McKenzie, Phys. Rev. B 91, 075124 (2015).
N. Pakhira, and R. H. McKenzie, arXiv:1504.0713[cond-mat.str-el].
L. Cheng, X. H. Ge, and S. J. Sin, Phys. Lett. B 734, 116 (2014).
L. Cheng, X. H. Ge, and S. J. Sin, J. High Energy Phys. 7, 083 (2014).
L. D. Landau, and E. M. Lifshitz, Theory of Elasticity (Pergamon Press, London, 1959).
D. Mateos, and D. Trancanelli, J. High Energy Phys. 1107, 054 (2011).
X. H. Ge, Y. Ling, C. Niu, and S. J. Sin, Phys. Rev. D 92, 106005 (2015).
A. Amoretti, A. Braggio, N. Magnoli, and D. Musso, arXiv:1411.6631 [hep-th].
M. Brigante, H. Liu, R. C. Myers, S. Shenker, and S. Yaida, Phys. Rev. D 77, 126006 (2008).
X. H. Ge, and S. J. Sin, J. High Energy Phys. 5, 051 (2009).
R. G. Cai, Z. Y. Nie, and Y. W. Sun, Phys. Rev. D 78, 126007 (2008).
X. H. Ge, S. J. Sin, S. F. Wu, and G. H. Yang, Phys. Rev. D 80, 104019 (2009).
R. C. Myers, M. F. Paulos, and A. Sinha, J. High Energy Phys. 6, 006 (2009).
H. S. Liu, H. Lü, and C. N. Pope, Phys. Rev. D 92, 064014 (2015).
X. H. Feng, H. S. Liu, H. Lü, and C. N. Pope, arXiv:1509.07142[hepth].
S. Jain, R. Samanta, and S. P. Trivedi, arXiv:1506.01899[hep-th].
X. H. Ge, S. J. Sin, and S. F. Wu, arXiv:1512.01917[hep-th].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ge, X. Notes on shear viscosity bound violation in anisotropic models. Sci. China Phys. Mech. Astron. 59, 630401 (2016). https://doi.org/10.1007/s11433-015-5776-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-015-5776-2