Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model

  • We construct charged black hole solutions with hyperscaling violation in the infrared (IR) region in Einstein-Maxwell-Dilaton-Axion theory and investigate the temperature behavior of the ratio of holographic shear viscosity to the entropy density. When translational symmetry breaking is relevant in the IR, the power law of the ratio is verified numerically at low temperature T, namely, η/s~Tκ, where the values of exponent κ coincide with the analytical results. We also find that the exponent κ is not affected by irrelevant current, but is reduced by the relevant current.
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Yi Ling, Zhuoyu Xian and Zhenhua Zhou. Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model[J]. Chinese Physics C, 2017, 41(2): 023104. doi: 10.1088/1674-1137/41/2/023104
Yi Ling, Zhuoyu Xian and Zhenhua Zhou. Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model[J]. Chinese Physics C, 2017, 41(2): 023104.  doi: 10.1088/1674-1137/41/2/023104 shu
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Received: 2016-09-02
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    Supported by National Natural Science Foundation of China (11275208, 11575195), Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (14DZ2260700) and Jiangxi Young Scientists (JingGang Star) Program and 555 Talent Project of Jiangxi Province

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Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model

    Corresponding author: Yi Ling,
    Corresponding author: Zhuoyu Xian,
    Corresponding author: Zhenhua Zhou,
  • 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
  • 2. Shanghai Key Laboratory of High Temperature Superconductors, Shanghai 200444, China
  • 3. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China
  • 4.  Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
Fund Project:  Supported by National Natural Science Foundation of China (11275208, 11575195), Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (14DZ2260700) and Jiangxi Young Scientists (JingGang Star) Program and 555 Talent Project of Jiangxi Province

Abstract: We construct charged black hole solutions with hyperscaling violation in the infrared (IR) region in Einstein-Maxwell-Dilaton-Axion theory and investigate the temperature behavior of the ratio of holographic shear viscosity to the entropy density. When translational symmetry breaking is relevant in the IR, the power law of the ratio is verified numerically at low temperature T, namely, η/s~Tκ, where the values of exponent κ coincide with the analytical results. We also find that the exponent κ is not affected by irrelevant current, but is reduced by the relevant current.

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