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Critical behaviour of hydrodynamic series

  • Regular Article - Theoretical Physics
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  • Published: 31 May 2021
  • Volume 2021, article number 287, (2021)
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Critical behaviour of hydrodynamic series
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  • M. Asadi1,
  • H. Soltanpanahi  ORCID: orcid.org/0000-0002-8475-78812,3,4 &
  • F. Taghinavaz  ORCID: orcid.org/0000-0002-3223-79991 

  • 375 Accesses

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A preprint version of the article is available at arXiv.

Abstract

We investigate the time-dependent perturbations of strongly coupled \( \mathcal{N} \) = 4 SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down Einstein-Maxwell-dilaton description which is a consistent truncation of the dimensional reduction of type IIB string theory on AdS5×S5. We focus on spin-1 and spin-2 sectors of perturbations and compute the linearized hydrodynamic transport coefficients up to the third order in gradient expansion. We also determine the radius of convergence of the hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in spin-2 sector. Analytically, we find that all the hydrodynamic quantities have the same critical exponent near the critical point θ = \( \frac{1}{2} \). Moreover, we propose a relation between symmetry enhancement of the underlying theory and vanishing of the only third order hydrodynamic transport coefficient θ1, which appears in the shear dispersion relation of a conformal theory on a flat background.

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Authors and Affiliations

  1. IPM, School of Particles and Accelerators, P.O. Box 19395-5531, Tehran, Iran

    M. Asadi & F. Taghinavaz

  2. Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou, 510006, China

    H. Soltanpanahi

  3. Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou, 510006, China

    H. Soltanpanahi

  4. Institute of Theoretical Physics, Jagiellonian University, S. Lojasiewicza 11, PL 30-348, Krakow, Poland

    H. Soltanpanahi

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  1. M. Asadi
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Correspondence to H. Soltanpanahi.

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Asadi, M., Soltanpanahi, H. & Taghinavaz, F. Critical behaviour of hydrodynamic series. J. High Energ. Phys. 2021, 287 (2021). https://doi.org/10.1007/JHEP05(2021)287

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  • Received: 15 February 2021

  • Revised: 01 May 2021

  • Accepted: 21 May 2021

  • Published: 31 May 2021

  • DOI: https://doi.org/10.1007/JHEP05(2021)287

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Keywords

  • Gauge-gravity correspondence
  • Black Holes in String Theory
  • Effective Field Theories
  • Holography and quark-gluon plasmas

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