- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

η/s at finite coupling

Shesansu Sekhar Pal*

  • Center for Quantum Spacetime, Sogang University, 121-742 Seoul, South Korea

  • *shesansu@gmail.com
PDF

Phys. Rev. D 81, 045005 – Published 4 February, 2010

DOI: https://doi.org/10.1103/PhysRevD.81.045005

Abstract

We compute the ratio of the coefficient of shear viscosity to entropy density at finite coupling and at zero chemical potential using holographic duality, up to ten derivative terms in the low energy effective five-dimensional action, of a specific kind, which may or may not be connected to the supersymmetric completion of type IIB theory. The result suggests that this ratio can be positive only for the 8th derivative term even with the form of that term in the action as CijklCklmnCmnrsCrsij, where C is the Weyl tensor.

View figure in article

Article Text

References (27)

  1. J. Adams et al. (STAR Collaboration), Nucl. Phys. A757, 102 (2005); B. B. Back et al., A757, 28 (2005); K. Adcox et al. (PHENIX Collaboration), A757, 184 (2005); I. Arsene et al. (BRAHMS Collaboration), A757, 1 (2005).
  2. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998); O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
  3. G. Policastro, D. T. Son, and A. O. Starinets, Phys. Rev. Lett. 87, 081601 (2001); J. High Energy Phys. 09 (2002) 043; D. T. Son and A. O. Starinets, 09 (2002) 042.
  4. P. Kovtun, D. T. Son, and A. O. Starinets, Phys. Rev. Lett. 94, 111601 (2005).
  5. M. Brigante, H. Liu, R. C. Myers, S. Shenker, and S. Yaida, Phys. Rev. D 77, 126006 (2008).
  6. Y. Kats and P. Petrov, J. High Energy Phys. 01 (2009) 044.
  7. T. D. Cohen, Phys. Rev. Lett. 99, 021602 (2007).
  8. D. T. Son and A. O. Starinets, Annu. Rev. Nucl. Part. Sci. 57, 95 (2007); D. Mateos, Classical Quantum Gravity 24, S713 (2007); A. Cherman, T. D. Cohen, and P. M. Hohler, J. High Energy Phys. 02 (2008) 026; S. S. Gubser and A. Karch, Annu. Rev. Nucl. Part. Sci. 59, 145 (2009); T. Schaefer and D. Teaney, Rep. Prog. Phys. 72, 126001 (2009).
  9. N. Iqbal and H. Liu, Phys. Rev. D 79, 025023 (2009).
  10. R. C. Myers, M. F. Paulos, and A. Sinha, J. High Energy Phys. 06 (2009) 006.
  11. R. Wald, Phys. Rev. D 48, R3427 (1993); V. Iyer and R. Wald, 50, 846 (1994); T. Jacobson, G. Kang, and R. Myers, 49, 6587 (1994).
  12. A. Buchel, J. T. Liu, and A. O. Starinets, Nucl. Phys. B707, 56 (2005).
  13. A. Buchel, M. P. Heller, and R. C. Myers, Phys. Lett. B 680, 521 (2009).
  14. M. Brigante, H. Liu, R. C. Myers, S. Shenker, and S. Yaida, Phys. Rev. Lett. 100, 191601 (2008).
  15. D. Mateos, R. C. Myers, and R. M. Thomson, Phys. Rev. Lett. 98, 101601 (2007); R. C. Myers, M. F. Paulos, and A. Sinha, Phys. Rev. D 79, 041901 (2009); A. Buchel, R. C. Myers, M. F. Paulos, and A. Sinha, Phys. Lett. B 669, 364 (2008); A. Buchel, R. C. Myers, and A. Sinha, J. High Energy Phys. 03 (2009) 084; A. Sinha and R. C. Myers, Nucl. Phys. A830, 295 (2009).
  16. A. Buchel and J. T. Liu, Phys. Rev. Lett. 93, 090602 (2004); A. Buchel, Phys. Lett. B 609, 392 (2005); P. Benincasa, A. Buchel, and R. Naryshkin, 645, 309 (2007); A. Buchel, Nucl. Phys. B803, 166 (2008).
  17. S. Cremonini, K. Hanaki, J. T. Liu, and P. Szepietowski, Phys. Rev. D 80, 025002 (2009).
  18. R. Brustein and A. J. M. Medved, Phys. Rev. D 79, 021901 (2009); Phys. Lett. B 671, 119 (2009); Phys. Rev. D 79, 126012 (2009); arXiv:0908.1473.
  19. N. Banerjee and S. Dutta, J. High Energy Phys. 03 (2009) 116; 07 (2009) 024; arXiv:0911.0557.
  20. J. Mas, J. High Energy Phys. 03 (2006) 016; K. Landsteiner and J. Mas, 07 (2007) 088.
  21. R. G. Cai and Y. W. Sun, J. High Energy Phys. 09 (2008) 115; R. G. Cai, Z. Y. Nie, and Y. W. Sun, Phys. Rev. D 78, 126007 (2008); R. G. Cai, Z. Y. Nie, N. Ohta, and Y. W. Sun, 79, 066004 (2009); R. G. Cai, Y. Liu, and Y. W. Sun, arXiv:0910.4705.
  22. M. R. Garousi and A. Ghodsi, Nucl. Phys. B812, 470 (2009); M. Alishahiha and A. Ghodsi, Phys. Rev. D 80, 026004 (2009).
  23. D. Teaney, Phys. Rev. D 74, 045025 (2006); K. Maeda, M. Natsuume, and T. Okamura, 73, 066013 (2006); O. Saremi, J. High Energy Phys. 10 (2006) 083; X. H. Ge, Y. Matsuo, F. W. Shu, S. J. Sin, and T. Tsukioka, 10 (2008) 009; M. Mia, K. Dasgupta, C. Gale, and S. Jeon, arXiv:0902.1540; X. H. Ge, S. J. Sin, S. F. Wu, and G. H. Yang, Phys. Rev. D 80, 104019 (2009); I. P. Neupane, Int. J. Mod. Phys. A 24, 3584 (2009); I. P. Neupane and N. Dadhich, arXiv:0808.1919; J. de Boer, M. Kulaxizi, A. Parnachevand , arXiv:0910.5347; D. -W. Pang, arXiv:0911.2777.
  24. P. Kovtun and A. Starinets, Phys. Rev. D 72, 086009 (2005).
  25. S. Dutta and R. Gopakumar, Phys. Rev. D 74, 044007 (2006).
  26. D. M. Hofman and J. Maldacena, J. High Energy Phys. 05 (2008) 012; D. M. Hofman, Nucl. Phys. B823, 174 (2009).
  27. S. Nojiri and S. D. Odintsov, Int. J. Mod. Phys. A 15, 413 (2000).

Outline

Information

Phys. Rev. D 81, 045005– Published 4 February, 2010
  • Received 20 November 2009

© 2010 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation