Quantum Correction to Chaos in Schwarzian Theory

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 } $.