Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma

Kuntz, Iberê; da Rocha, Roldao

doi:10.3390/e27060580

This is an early access version, the complete PDF, HTML, and XML versions will be available soon.

Open AccessArticle

Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma

by

Iberê Kuntz

¹

and

Roldao da Rocha

^2,*

¹

Departamento de Física, Universidade Federal do Paraná, P.O. Box 19044, Curitiba 81531-980, PR, Brazil

²

Center of Mathematics, Federal University of ABC, Santo André 09210-580, SP, Brazil

^*

Author to whom correspondence should be addressed.

Entropy 2025, 27(6), 580; https://doi.org/10.3390/e27060580

Submission received: 23 April 2025 / Revised: 23 May 2025 / Accepted: 26 May 2025 / Published: 29 May 2025

(This article belongs to the Special Issue Nonequilibrium Quantum Field Processes and Phenomena)

Download Versions Notes

Abstract

A functional measure encompasses quantum corrections and is explored in the fluid/gravity correspondence. Corrections to the response and transport coefficients in the second-order dissipative relativistic hydrodynamics are proposed, including those to the pressure, relaxation time, and shear relaxation time. Their dependence on the quark–gluon plasma (QGP) temperature sets a temperature dependence on the running parameter encoding the one-loop quantum gravity correction, driven by a functional measure. The experimental range of the bulk-viscosity-to-entropy-density ratio of the QGP, obtained by five different analyses (JETSCAPE Bayesian model, Duke, Jyväskylä–Helsinki–Munich, MIT–Utrecht–Genève, and Shanghai) corroborates the existence of the functional measure. Our results suggest that high-temperature plasmas could be used to experimentally test quantum gravity.

Keywords: hydrodynamics; quark–gluon plasma; transport and response coefficients; nonequilibrium quantum field theory

Share and Cite

MDPI and ACS Style

Kuntz, I.; da Rocha, R. Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma. Entropy 2025, 27, 580. https://doi.org/10.3390/e27060580

AMA Style

Kuntz I, da Rocha R. Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma. Entropy. 2025; 27(6):580. https://doi.org/10.3390/e27060580

Chicago/Turabian Style

Kuntz, Iberê, and Roldao da Rocha. 2025. "Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma" Entropy 27, no. 6: 580. https://doi.org/10.3390/e27060580

APA Style

Kuntz, I., & da Rocha, R. (2025). Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma. Entropy, 27(6), 580. https://doi.org/10.3390/e27060580

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Menu

Transport and Response Coefficients in Second-Order Dissipative Relativistic Hydrodynamics with Quantum Corrections: Probing the Quark–Gluon Plasma

Abstract

Share and Cite

Article Metrics

Article Access Statistics

Further Information

Guidelines

MDPI Initiatives

Follow MDPI