Skip to main content
Log in

Eling-Oz formula for the holographic bulk viscosity

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of holographic plasma. They argued that the formula is valid in the high temperature (near-conformal) regime, but is expected to break down at low temperatures. We point out that the formula is in perfect agreement with the previous computations of the bulk viscosity of the cascading plasma [2, 3], as well as with the previous computations of the bulk viscosity of \( \mathcal{N} = {2^*} \) plasma [4, 5]. In the latter case it correctly reproduces the critical behaviour of the bulk viscosity in the vicinity of the critical point with the vanishing speed of sound.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. Eling and Y. Oz, A novel formula for bulk viscosity from the null horizon focusing equation, arXiv:1103.1657 [SPIRES].

  2. A. Buchel, Transport properties of cascading gauge theories, Phys. Rev. D 72 (2005) 106002 [hep-th/0509083] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  3. A. Buchel, Hydrodynamics of the cascading plasma, Nucl. Phys. B 820 (2009) 385 [arXiv:0903.3605] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  4. A. Buchel, Bulk viscosity of gauge theory plasma at strong coupling, Phys. Lett. B 663 (2008) 286 [arXiv:0708.3459] [SPIRES].

    ADS  Google Scholar 

  5. A. Buchel and C. Pagnutti, Bulk viscosity of N = 2* plasma, Nucl. Phys. B 816 (2009) 62 [arXiv:0812.3623] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].

    Article  MathSciNet  MATH  Google Scholar 

  7. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  8. A. Buchel and J.T. Liu, Universality of the shear viscosity in supergravity, Phys. Rev. Lett. 93 (2004) 090602 [hep-th/0311175] [SPIRES].

    Article  ADS  Google Scholar 

  9. P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [SPIRES].

    Article  ADS  Google Scholar 

  10. A. Buchel, On universality of stress-energy tensor correlation functions in supergravity, Phys. Lett. B 609 (2005) 392 [hep-th/0408095] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  11. P. Benincasa, A. Buchel and R. Naryshkin, The shear viscosity of gauge theory plasma with chemical potentials, Phys. Lett. B 645 (2007) 309 [hep-th/0610145] [SPIRES].

    ADS  Google Scholar 

  12. P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. J. Mas and J. Tarrio, Hydrodynamics from the Dp-brane, JHEP 05 (2007) 036 [hep-th/0703093] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  14. P. Benincasa and A. Buchel, Hydrodynamics of Sakai-Sugimoto model in the quenched approximation, Phys. Lett. B 640 (2006) 108 [hep-th/0605076] [SPIRES].

    ADS  Google Scholar 

  15. P. Benincasa, A. Buchel and A.O. Starinets, Sound waves in strongly coupled non-conformal gauge theory plasma, Nucl. Phys. B 733 (2006) 160 [hep-th/0507026] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. A. Buchel, Critical phenomena in N = 4 SYM plasma, Nucl. Phys. B 841 (2010) 59 [arXiv:1005.0819] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  17. I. Kanitscheider and K. Skenderis, Universal hydrodynamics of non-conformal branes, JHEP 04 (2009) 062 [arXiv:0901.1487] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Yarom, Notes on the bulk viscosity of holographic gauge theory plasmas, JHEP 04 (2010) 024 [arXiv:0912.2100] [SPIRES].

    Article  ADS  Google Scholar 

  19. S.S. Gubser, S.S. Pufu and F.D. Rocha, Bulk viscosity of strongly coupled plasmas with holographic duals, JHEP 08 (2008) 085 [arXiv:0806.0407] [SPIRES].

    Article  ADS  Google Scholar 

  20. U. Gürsoy, E. Kiritsis, G. Michalogiorgakis and F. Nitti, Thermal transport and drag force in improved holographic QCD, JHEP 12 (2009) 056 [arXiv:0906.1890] [SPIRES].

    Article  Google Scholar 

  21. S.S. Gubser and A. Nellore, Mimicking the QCD equation of state with a dual black hole, Phys. Rev. D 78 (2008) 086007 [arXiv:0804.0434] [SPIRES].

    ADS  Google Scholar 

  22. A. Buchel, S. Deakin, P. Kerner and J.T. Liu, Thermodynamics of the N = 2* strongly coupled plasma, Nucl. Phys. B 784 (2007) 72 [hep-th/0701142] [SPIRES].

    Article  ADS  Google Scholar 

  23. A. Buchel and C. Pagnutti, Transport at criticality, Nucl. Phys. B 834 (2010) 222 [arXiv:0912.3212] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  24. A. Buchel and C. Pagnutti, Critical phenomena in N = 2* plasma, Phys. Rev. D 83 (2011) 046004 [arXiv:1010.3359] [SPIRES].

    ADS  Google Scholar 

  25. O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [hep-th/0506002] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  26. O. Aharony, A. Buchel and P. Kerner, The black hole in the throat — Thermodynamics of strongly coupled cascading gauge theories, Phys. Rev. D 76 (2007) 086005 [arXiv:0706.1768] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  27. K. Pilch and N.P. Warner, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alex Buchel.

Additional information

ArXiv ePrint: 1103.3733

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buchel, A. Eling-Oz formula for the holographic bulk viscosity. J. High Energ. Phys. 2011, 65 (2011). https://doi.org/10.1007/JHEP05(2011)065

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP05(2011)065

Keywords

Navigation