$\eta/s$ in a strongly coupled QFT

Abstract

We consider $O(N)$ $g\varphi^4$ theory with the coupling $g$ being large, and calculate shear viscosity to entropy density ratio ($\eta/s$). The final result for $\eta/s$ has a form remarkably similar to that obtained from string theory calculations via the AdS/CFT conjecture. The method adopted can be used to compute quantities of interest in other theories as well with some modifications and reveals some very interesting features within the considered theory.