Quantum correction to chaos in Schwarzian theory

초록

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 2 pi/beta.

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