“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 16526
School of Particles and Accelerator
  Title:   Critical behaviour of hydrodynamic series
1.  Mohammad Asadi
2.  H Soltanpanahi
3.  Farid Taghinavaz
  Status:   Published
  Journal: JHEP
  No.:  287
  Vol.:  21
  Year:  2021
  Supported by:  IPM
We investigate the time-dependent perturbations of strongly coupled 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=1/2. Moreover, we establish a relation between symmetry enhancement of the underlying theory and vanishing 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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