English

Quantum Correction to Chaos in Schwarzian Theory

High Energy Physics - Theory 2020-01-08 v2

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)\mathcal{O}(g^4). We show that the quantum correction of order O(g4)\mathcal{O}(g^4) by the soft mode decreases the maximum Lyapunov exponent 2π/β2\pi/ \beta.

Keywords

Cite

@article{arxiv.1906.00996,
  title  = {Quantum Correction to Chaos in Schwarzian Theory},
  author = {Yong-Hui Qi and Sang-Jin Sin and Junggi Yoon},
  journal= {arXiv preprint arXiv:1906.00996},
  year   = {2020}
}

Comments

16 pages plus references, 9 figures; v2 references added and typos corrected