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.
      PCAS:
  • 加载中
  • [1] P. Kovtun, D. T. Son and A. O. Starinets, Phys. Rev. Lett., 94:111601(2005)
    [2] M. Brigante, H. Liu, R. C. Myers et al, Phys. Rev. D, 77:126006(2008)
    [3] Y. Kats and P. Petrov, JHEP, 0901:044(2009)
    [4] D. Mateos and D. Trancanelli, Phys. Rev. Lett., 107:101601(2011)
    [5] D. Mateos and D. Trancanelli, JHEP, 1107:054(2011)
    [6] A. Rebhan and D. Steineder, Phys. Rev. Lett., 108:021601(2012)
    [7] X. H. Ge, Y. Ling, C. Niu et al, Phys. Rev. D, 92(10):106005(2015)
    [8] R. A. Davison and B. Goutraux, JHEP, 1501:039(2015)
    [9] S. A. Hartnoll, D. M. Ramirez and J. E. Santos, JHEP, 1603:170(2016)
    [10] L. Alberte, M. Baggioli and O. Pujolas, arXiv:1601.03384[hep-th].
    [11] P. Burikham and N. Poovuttikul, arXiv:1601.04624[hep-th].
    [12] H. S. Liu, H. Lu and C. N. Pope, arXiv:1602.07712[hep-th].
    [13] Y. Ling, Z. Y. Xian and Z. Zhou, arXiv:1605.03879[hep-th].
    [14] Y. L. Wang and X. H. Ge, arXiv:1605.07248[hep-th].
    [15] A. M. Garca-Garca, B. Loureiro and A. Romero-Bermdez, arXiv:1606.01142[hep-th].
    [16] G. T. Horowitz, J. E. Santos and D. Tong, JHEP, 1207:168(2012)
    [17] G. T. Horowitz and J. E. Santos, JHEP, 1306:087(2013)
    [18] G. T. Horowitz, J. E. Santos and D. Tong, JHEP, 1211:102(2012)
    [19] Y. Ling, C. Niu, J. P. Wu et al, JHEP, 1311:006(2013)
    [20] S. A. Hartnoll and D. M. Hofman, Phys. Rev. Lett., 108:241601(2012)
    [21] M. Blake, D. Tong and D. Vegh, Phys. Rev. Lett., 112(7):071602(2014)
    [22] E. Kiritsis and J. Ren, JHEP, 1509:168(2015)
    [23] D. Vegh, arXiv:1301.0537[hep-th].
    [24] T. Andrade and B. Withers, JHEP, 1405:101(2014)
    [25] Y. Ling, P. Liu, C. Niu et al, JHEP, 1502:059(2015)
    [26] M. Blake and A. Donos, Phys. Rev. Lett., 114:no. 2, 021601(2015)
    [27] M. Baggioli and O. Pujolas, Phys. Rev. Lett., 114:no. 25, 251602(2015)
    [28] R. A. Davison, K. Schalm and J. Zaanen, Phys. Rev. B, 89(24):245116(2014)
    [29] H. B. Zeng and J. P. Wu, Phys. Rev. D, 90(4):046001(2014)
    [30] A. Amoretti, A. Braggio, N. Maggiore et al, JHEP, 1409:160(2014)
    [31] A. Donos and J. P. Gauntlett, JHEP, 1406:007(2014)
    [32] B. Goutraux, JHEP, 1404:181(2014)
    [33] A. Donos, B. Goutraux and E. Kiritsis, JHEP, 1409:038(2014)
    [34] A. Donos and J. P. Gauntlett, JHEP, 1404:040(2014)
    [35] S. A. Hartnoll and J. E. Santos, Phys. Rev. Lett., 112:231601(2014)
    [36] S. A. Hartnoll, D. M. Ramirez and J. E. Santos, JHEP, 1509:160(2015)
    [37] S. A. Hartnoll, D. M. Ramirez and J. E. Santos, JHEP, 1604:022(2016)
    [38] A. Donos and S. A. Hartnoll, Phys. Rev. D, 86:124046(2012)
    [39] A. Donos and S. A. Hartnoll, Nature Phys., 9:649(2013)
    [40] S. Kachru, X. Liu and M. Mulligan, Phys. Rev. D, 78:106005(2008)
    [41] M. Taylor, arXiv:0812.0530[hep-th]
    [42] S. S. Gubser and A. Nellore, Phys. Rev. D, 80:105007(2009)
    [43] S. S. Gubser and F. D. Rocha, Phys. Rev. D, 81:046001(2010)
    [44] M. Cadoni, G. D'Appollonio and P. Pani, JHEP, 1003:100(2010)
    [45] K. Goldstein, S. Kachru, S. Prakash et al, JHEP, 1008:078(2010)
    [46] C. Charmousis, B. Goutraux, B. S. Kim et al, JHEP, 1011:151(2010)
    [47] E. Perlmutter, JHEP, 1102:013(2011)
    [48] B. Goutraux, J. Smolic, M. Smolic et al, JHEP, 1201:089(2012)
    [49] B. Goutraux and E. Kiritsis, JHEP, 1112:036(2011)
    [50] N. Iizuka, N. Kundu, P. Narayan et al, JHEP, 1201:094(2012)
    [51] N. Ogawa, T. Takayanagi and T. Ugajin, JHEP, 1201:125(2012)
    [52] L. Huijse, S. Sachdev and B. Swingle, Phys. Rev. B, 85:035121(2012)
    [53] X. Dong, S. Harrison, S. Kachru et al, JHEP, 1206:041(2012)
    [54] M. Alishahiha and H. Yavartanoo, JHEP, 1211:034(2012)
    [55] J. Bhattacharya, S. Cremonini and A. Sinkovics, JHEP, 1302:147(2013)
    [56] B. Goutraux and E. Kiritsis, JHEP, 1304:053(2013)
    [57] B. Goutraux, JHEP, 1401:080(2014)
    [58] A. Lucas, JHEP, 1503:071(2015)
    [59] T. Faulkner, H. Liu, J. McGreevy et al, Phys. Rev. D, 83:125002(2011)
    [60] T. Faulkner, N. Iqbal, H. Liu et al, Phil. Trans. Roy. Soc. A, 369:1640(2011)
    [61] X. M. Kuang and J. P. Wu, arXiv:1511.03008[hep-th]
    [62] K. S. Kolekar, D. Mukherjee and K. Narayan, arXiv:1604.05092[hep-th]
  • 加载中

Get Citation
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
Milestone
Received: 2016-09-02
Fund

    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

Article Metric

Article Views(1464)
PDF Downloads(24)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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.

    HTML

Reference (62)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return