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arXiv · 2307.10384

How Gubser flow ends in a holographic conformal theory

Avik Banerjee·Toshali Mitra·Ayan Mukhopadhyay·Alexander Soloviev
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Abstract

Gubser flow is an axis-symmetric and boost-invariant evolution in a relativistic quantum field theory which is best studied by mapping $\mathbf{R}^{3,1}$ to $dS_{3}\times \mathbf{R}$ when the field theory has conformal symmetry. We show that at late de-Sitter time, which corresponds to large proper time and central region of the future wedge within $\mathbf{R}^{3,1}$, the holographic conformal field theory plasma can reach a state in which $\varepsilon = P_T = - P_L$, with $\varepsilon$, $P_T$ and $P_L$ being the energy density, transverse and longitudinal pressures, respectively. We further determine the full sub-leading behaviour of the energy-momentum tensor at late time. Restricting to flows in which the energy density decays at large transverse distance from the central axis in $\mathbf{R}^{3,1}$, we show that this decay should be faster than any power law. Furthermore, in this case the energy density also vanishes in $\mathbf{R}^{3,1}$ faster than any power as we go back to early proper time. Hydrodynamic behavior can appear in intermediate time.

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Avik Banerjee, Toshali Mitra, Ayan Mukhopadhyay, Alexander Soloviev. 2023-07-19. How Gubser flow ends in a holographic conformal theory. https://doi.org/10.1140/epjc%2Fs10052-024-12915-2

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