Quantum correction to chaos in Schwarzian theory

Abstract

Abstract We discuss the quantum correction to chaos in the Schwarzian theory. We carry out the semi-classical analysis of the Schwarzian theory to study Feynman diagrams of the Schwarzian soft mode. We evaluate the contribution of the soft mode to the out-of- time-order correlator up to order 𝒪 (g 4). We show that the quantum correction of order 𝒪 (g 4) by the soft mode decreases the maximum Lyapunov exponent $$ \frac{2\pi }{\beta } $$ 2 π β .