How Gubser flow ends in a holographic conformal theory

Banerjee, Avik (author), Mitra, Toshali (author), Mukhopadhyay, Ayan (author), Soloviev, Alexander (author)

Gubser flow is an axis-symmetric and boost-invariant evolution in a relativistic quantum field theory which is best studied by mapping $\bf{R}$$^{3,1}$ to $dS_3 \times \bf{R}$ when the field theory has conformal symmetry. We show that at late de-Sitter time, which corresponds to large proper time and central region of the future wedge within $\bf{R}$$^{3,1}$, the holographic conformal field theory plasma can reach a state in which $\epsilon = P_T = - P_L$, with $\epsilon$, $P_T$ 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 $\bf{R}$$^{3,1}$, we show that this decay should be faster than any power law. Furthermore, in this case the energy density also vanishes in $\bf{R}$$^{3,1}$ faster than any power as we go back to early proper time. Hydrodynamic behavior can appear in intermediate time.

• Language: English
• Keywords: relativistic hydrodynamics, Gubser flow
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 15 str.
• Numbering: Vol. 84, art. no. ǂ550
• PID: 20.500.12556/RUL-165161
• UDC: 532.5
• ISSN on article: 1434-6044
• DOI: 10.1140/epjc/s10052-024-12915-2
• COBISS.SI-ID: 216385539
• Publication date in RUL: 25.11.2024

Record is a part of a journal

• Title: The European physical journal
• Publisher: Springer
• ISSN: 1434-6044
• COBISS.SI-ID: 634468

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: relativistična hidrodinamika, Gubserjev tok

Projects

• Funder: EC - European Commission
• Project number: 101103006
• Name: Far-from-Equilibrium ATtractors at Ultra-Relativistic Energies
• Acronym: FEATURE

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: N1-0245-2021
• Name: Kvantni kaos v relativističnih plazmah