Universal strongly coupled shear-viscosity bound

Determine whether the shear-viscosity-to-entropy-density ratio of a strongly coupled system universally reaches the value \(\eta/s=1/4\pi\).

Background

The thesis discusses the use of the ratio between the heavy-quark spatial diffusion coefficient and the shear-viscosity-to-entropy-density ratio to distinguish strongly and weakly coupled media. In the strongly coupled limit, gauge–gravity duality motivates the values Ds1/(2πT)D_s\approx 1/(2\pi T) and η/s=1/4π\eta/s=1/4\pi. The universal status of the shear-viscosity value is presented as a conjecture rather than as an established result. The thesis subsequently finds that the corresponding proposed lower limit can be violated within the Quasi-Particle Model, reinforcing the unresolved nature of the conjectured bound.

References

The spatial diffusion coefficient was found as $D_s\approx 1/(2\pi T)$ , whereas the shear viscosity is conjectured to reach a universal strongly-coupled limit of $\eta/s=1/4\pi$ .

Hot QCD: transport coefficients in strong and weak coupling regimes  (2609.08521 - Parisi, 8 Sep 2026) in Section 'The ratio $(2\pi TD_s)/(4\pi \eta/s)$'