Quantum Correction to Chaos in Schwarzian Theory

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(g4). We show that the quantum correction of order O(g4) by the soft mode decreases the maximum Lyapunov exponent 2π/ β.

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