The Quantum Viscosity Bound In Lovelock Gravity

TL;DR

This paper calculates the shear viscosity to entropy density ratio in Lovelock gravity theories using AdS/CFT correspondence, finding that only the Gauss-Bonnet term affects this ratio, aligning with previous predictions.

Contribution

It demonstrates that higher-order Lovelock corrections do not alter the shear viscosity to entropy density ratio, except for the Gauss-Bonnet term, extending previous theoretical results.

Findings

Only Gauss-Bonnet term affects η/s in Lovelock gravity.

Higher-order Lovelock terms do not contribute to η/s.

Results agree with previous theoretical predictions.

Abstract

Based on the finite-temperature AdS/CFT correspondence, we calculate the ratio of shear viscosity to entropy density in any Lovelock theories to any order. Our result shows that any Lovelock correction terms except the Gauss-Bonnet term have no contribution to the value of $\eta/s$. This result is consistent with that of Brustein and Medved's prediction.