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 (g 4...

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Bibliographic Details
Main Authors: Yong-Hui Qi, Sang-Jin Sin, Junggi Yoon
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)035
Description
Summary: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 2 π β $$ \frac{2\pi }{\beta } $$ .
ISSN:1029-8479