Skip to main content
Log in

Holographic Renormalization Group Flow in Anisotropic Matter

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We consider holographic renormalization group flow equations in an anisotropic quark—gluon plasma and present anisotropic solutions for some special cases.

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. I. Ya. Aref’eva, “Holographic renormalization group flows,” Theor. Math. Phys., 200, 1313–1323 (2019).

    Article  MathSciNet  Google Scholar 

  2. J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, and U. A. Wiedemann, Gauge/String Duality, Hot QCD, and Heavy Ion Collisions, Cambridge Univ. Press, Cambridge (2014); arXiv:1101.0618v2 [hep-th] (2011).

    Book  Google Scholar 

  3. I. Ya. Aref’eva, “Holographic approach to quark—gluon plasma in heavy ion collisions,” Phys. Usp., 57, 527–555 (2014).

    Article  ADS  Google Scholar 

  4. O. DeWolfe, S. S. Gubser, C. Rosen, and D. Teaney, “Heavy ions and string theory,” Prog. Part. Nucl. Phys., 75, 86–132 (2014); arXiv:1304.7794v2 [hep-th] (2013).

    Article  ADS  Google Scholar 

  5. I. Aref’eva, “Holography for heavy ions collisions at LHC and NICA,” EPJ Web Conf., 164, 01014 (2017); arXiv:1612.08928v1 [hep-th] (2016).

    Article  Google Scholar 

  6. I. Aref’eva, “Holography for heavy-ion collisions at LHC and NICA: Results of the last two years,” EPJ Web Conf., 191, 05010 (2018).

    Article  Google Scholar 

  7. D. Z. Freedman, S. S. Gubser, K. Pilch, and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c-theorem,” Adv. Theor. Math. Phys., 3, 363–417 (1999); arXiv:hep-th/9904017v3 (1999).

    Article  MathSciNet  Google Scholar 

  8. J. de Boer, E. P. Verlinde, and H. L. Verlinde, “On the holographic renormalization group,” JHEP, 0008, 003 (2000); arXiv:hep-th/9912012v3 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  9. J. de Boer, “The holographic renormalization group,” Fortsch. Phys., 49, 2001 (339–358); arXiv:hep-th/0101026v1 (2001).

    Article  ADS  MathSciNet  Google Scholar 

  10. I. Heemskerk and J. Polchinski, “Holographic and Wilsonian renormalization groups,” JHEP, 1106, 031 (2011); arXiv:1010.1264v2 [hep-th] (2010).

    Article  ADS  MathSciNet  Google Scholar 

  11. E. Kiritsis, W. Li, and F. Nitti, “Holographic RG flow and the quantum effective action,” Fortsch. Phys., 62, 389–454 (2014); arXiv:1401.0888v2 [hep-th] (2014).

    Article  ADS  MathSciNet  Google Scholar 

  12. E. Kiritsis, F. Nitti, and L. S. Pimenta, “Exotic RG flows from holography,” Fortsch. Phys., 65, 1600120 (2017); arXiv:1611.05493v2 [hep-th] (2016).

    Article  ADS  MathSciNet  Google Scholar 

  13. I. Aref’eva and K. Rannu, “Holographic anisotropic background with confinement—deconfinement phase transition,” JHEP, 1805, 206 (2018); arXiv:1802.05652v3 [hep-th] (2018).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Ya. Aref’eva.

Additional information

This research was supported by Russian Foundation for Basic Research (Grant No. 18-02-40069 mega).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 202, No. 2, pp. 312–324, February, 2020.

Conflicts of interest

The authors declare no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aref’eva, I.Y., Rannu, K. Holographic Renormalization Group Flow in Anisotropic Matter. Theor Math Phys 202, 272–283 (2020). https://doi.org/10.1134/S0040577920020105

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040577920020105

Keywords

Navigation