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On the Drag Force of a Heavy Quark via 5d Kerr-AdS Background

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Abstract

We consider a heavy quark motion in a rotating quark-gluon plasma in the framework of the holographic prescription. For the gravity dual we use the 5d Kerr-AdS black hole with one non-zero rotational parameter. We calculate the Nambu-Goto action for a curved string in the Kerr-AdS background and corresponding conjugate momenta. For the case of one non-zero rotational parameter we find good agreement with the prediction from the 4d case considered by Nata Atmaja and Schalm.

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Notes

  1. See the SageMath notebook \\\url{https://cocalc.com/share/18c3b4248944bcea28f33da59c1e61c37073d4b6/Kerr-AdS-5D-string6.ipynb} for details on the calculation.

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ACKNOWLEDGMENTS

This paper is based on a talk at the International Bogolyubov Conference Problems of Theoretical and Mathematical Physics in Dubna, Russia on 11–13 September 2019. We would like to thank the organizers of the Bogolyubov Conference-2019 for the invitation. The authors are grateful to Nata Atmaja for useful clarifications.

Funding

The work of IA and AG is supported by Russian Foundation for Basic Research (RFBR) grant no. 18-02-40069 mega. AG is supported by the JINR grant for young scientists no. 20-302-02. EG acknowledges support from CNRS 80 PRIME program TNENGRAV.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    I. Aref’eva

  2. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow oblast, Russia

    A. Golubtsova

  3. Dubna State University, 141980, Dubna, Russia

    A. Golubtsova

  4. Laboratoire Univers et Théories, Observatoire de Paris, CNRS, Université PSL, Université de Paris, 5 place Jules Janssen, 92190, Meudon, France

    E. Gourgoulhon

Authors
  1. I. Aref’eva
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  2. A. Golubtsova
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  3. E. Gourgoulhon
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Corresponding authors

Correspondence to I. Aref’eva, A. Golubtsova or E. Gourgoulhon.

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Aref’eva, I., Golubtsova, A. & Gourgoulhon, E. On the Drag Force of a Heavy Quark via 5d Kerr-AdS Background. Phys. Part. Nuclei 51, 535–539 (2020). https://doi.org/10.1134/S1063779620040103

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  • DOI: https://doi.org/10.1134/S1063779620040103

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