# Impact of the chromo-electromagnetic field fluctuations on transport coefficients of heavy quarks and shear viscosity to entropy density ratio of quark-gluon plasma

## TL;DR

This paper investigates how chromo-electromagnetic field fluctuations in the quark-gluon plasma influence heavy quark transport properties and the shear viscosity to entropy density ratio, showing significant effects that align with lattice QCD results.

## Contribution

It introduces the consideration of field fluctuations in calculating transport coefficients and shear viscosity, providing a more accurate description of QGP properties.

## Key findings

- Fluctuations reduce drag and diffusion coefficients of heavy quarks.
- Shear viscosity to entropy density ratio aligns better with lattice QCD when fluctuations are included.
- Transport coefficients are significantly affected by field fluctuations.

## Abstract

The chromo-electromagnetic field fluctuations in the quark-gluon plasma (QGP) play an important role as these field fluctuations result energy gain of heavy quarks. We consider these fluctuations and evaluate the transport coefficients, e.g., drag and diffusion coefficients of charm quarks and shear viscosity to entropy density ratio ($\eta/s$) of the QGP. We find a significant effect of such fluctuations on the transport coefficients. These fluctuations cause a reduction of the drag and diffusion coefficients. We also observe that the shear viscosity to entropy density ratio of the QGP is closer to the value obtained in Lattice QCD (LQCD) and functional renormalization group calculations when the effects of such fluctuations are included.