2008/08/31 by Xian-Hui Ge, Yoshinori Matsuo, Fu-Wen Shu +2 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Causality (physics) #Charge (physics) #Constant (computer programming) #Coupling constant #Derivative (finance) #High-Energy Particle Collisions Research #Instability #Momentum (technical analysis) #Quantum Chromodynamics and Particle Interactions #Tachyon #Viscosity #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/10/009
published as JHEP 0810:009,2008 · 1+18 pages, 1 table+6 figures, typos corrected, references added, matches published version
openalex publication_date 2008/10/02 · arxiv created 2008/10/03 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recently, it has been shown that if we consider the higher derivative correction, the viscosity bound conjectured to be η/s=1/4π 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. The stability of the black brane requires the Gauss-Bonnet coupling constant λ(=2α'/l2) to be smaller than 1/24. We draw a phase diagram relevant to the instability in charge-coupling space.