Viscosity bound, causality violation and instability with stringy correction and charge

By Xian-Hui Ge, Yoshinori Matsuo, Fu-Wen Shu, S. Sin, T. Tsukioka. 2008

133 citations recorded by the source corpus.

Recently, it has been shown that if we consider the higher derivative correction, the viscosity bound conjectured to be ?/s = 1/4? is violated and so is the causality. In this paper, we consider medium effect and the higher derivative correction simultaneously by adding charge and Gauss-Bonnet terms. We find that the viscosity bound violation is not changed by the charge. However, we find that two effects together create another instability for large momentum regime. We argue the presence of tachyonic modes and show it numerically. We draw a phase diagram relevant to the instability in charge-coupling space.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b55e43cfcfce6df52bc95768815976d6248f8a8d

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In Nuclear and High Energy Physics

1. R. Myers
2. Aninda Sinha
3. M. Smolkin
4. S. Cremonini
5. M. Paulos
6. Alex Buchel
7. Ling-Yan Hung
8. J. Escobedo

Citations in the corpus

• The Shear Viscosity to Entropy Ratio: A Status Report (2011, background): “9 Four-derivative corrections in the presence of a chemical potential have been partially discussed in [61, 62], where R(2) and F 4 corrections were considered, respectively.”
• Holographic Hydrodynamics with a Chemical Potential (2009, methodology): “The effect of adding a Gauss-Bonnet term to the gravitational action was considered in [41] and η/s was calculated in the charged planar AdS black hole background.”
• Holographic GB gravity in arbitrary dimensions (2009, background): “This effect was extensively studied for charged black holes in GB gravity in [16, 34].”