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

## TL;DR

This paper explores quantum corrections in relativistic hydrodynamics to study the quark–gluon plasma and test quantum gravity effects.

## Contribution

The paper introduces quantum corrections to transport and response coefficients in second-order relativistic hydrodynamics.

## Key findings

- Quantum corrections affect the pressure, relaxation time, and shear relaxation time in the quark–gluon plasma.
- The bulk-viscosity-to-entropy-density ratio supports the existence of a functional measure encoding quantum gravity corrections.
- High-temperature plasmas may serve as a testing ground for quantum gravity theories.

## 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.