Skip to main content
Log in

A comparative note on tunneling in AdS and in its boundary matrix dual

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

Abstract

For charged black hole, within the grand canonical ensemble, the decay rate from thermal AdS to the black hole at a fixed high temperature increases with the chemical potential. We check that this feature is well captured by a phenomenological matrix model expected to describe its strongly coupled dual. This comparison is made by explicitly constructing the kink and bounce solutions around the de-confinement transition and evaluating the matrix model effective potential on the solutions.

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. S. Hawking and D.N. Page, Thermodynamics of black holes in Anti-de Sitter space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. L. Álvarez-Gaumé, C. Gomez, H. Liu and S. Wadia, Finite temperature effective action, AdS 5 black holes and 1/n expansion, Phys. Rev. D 71 (2005) 124023 [hep-th/0502227] [INSPIRE].

    ADS  Google Scholar 

  3. S. Banerjee, S.K. Chakrabarti, S. Mukherji and B. Panda, Black hole phase transitions via Bragg-Williams, Int. J. Mod. Phys. A 26 (2011) 3469 [arXiv:1012.3256] [INSPIRE].

    ADS  Google Scholar 

  4. S.R. Coleman, The fate of the false vacuum. 1. Semiclassical theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248] [INSPIRE].

    ADS  Google Scholar 

  5. A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. P. Basu and S.R. Wadia, R-charged AdS 5 black holes and large-N unitary matrix models, Phys. Rev. D 73 (2006) 045022 [hep-th/0506203] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. T.K. Dey, S. Mukherji, S. Mukhopadhyay and S. Sarkar, Phase transitions in higher derivative gravity, JHEP 04 (2007) 014 [hep-th/0609038] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. T.K. Dey, S. Mukherji, S. Mukhopadhyay and S. Sarkar, Phase transitions in higher derivative gravity and gauge theory: R-charged black holes, JHEP 09 (2007) 026 [arXiv:0706.3996] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. T.K. Dey, S. Mukherji, S. Mukhopadhyay and S. Sarkar, A note on matrix model with IR cutoff and AdS/CFT, Int. J. Mod. Phys. A 24 (2009) 5235 [arXiv:0806.4562] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Swarnendu Sarkar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandrasekhar, B., Mukherji, S., Sahay, A. et al. A comparative note on tunneling in AdS and in its boundary matrix dual. J. High Energ. Phys. 2012, 4 (2012). https://doi.org/10.1007/JHEP05(2012)004

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP05(2012)004

Keywords

Navigation