%0 Generic %1 Fitzpatrick2016Quantum %A Fitzpatrick, A. Liam %A Kaplan, Jared %D 2016 %K ads3-cft2, chaos %T A Quantum Correction To Chaos %U http://arxiv.org/abs/1601.06164 %X We use results on Virasoro conformal blocks to study chaotic dynamics in CFT\$\_2\$ at large central charge c. The Lyapunov exponent \$łambda\_L\$, which is a diagnostic for the early onset of chaos, receives \$1/c\$ corrections that may be interpreted as \$łambda\_L = 2 \pi\beta łeft( 1 + 12c \right)\$. However, out of time order correlators receive other equally important \$1/c\$ suppressed contributions that do not have such a simple interpretation. We revisit the proof of a bound on \$łambda\_L\$ that emerges at large \$c\$, focusing on CFT\$\_2\$ and explaining why our results do not conflict with the analysis leading to the bound. We also comment on relationships between chaos, scattering, causality, and bulk locality.

@misc{Fitzpatrick2016Quantum, abstract = {We use results on Virasoro conformal blocks to study chaotic dynamics in CFT\$\_2\$ at large central charge c. The Lyapunov exponent \$\lambda\_L\$, which is a diagnostic for the early onset of chaos, receives \$1/c\$ corrections that may be interpreted as \$\lambda\_L = \frac{2 \pi}{\beta} \left( 1 + \frac{12}{c} \right)\$. However, out of time order correlators receive other equally important \$1/c\$ suppressed contributions that do not have such a simple interpretation. We revisit the proof of a bound on \$\lambda\_L\$ that emerges at large \$c\$, focusing on CFT\$\_2\$ and explaining why our results do not conflict with the analysis leading to the bound. We also comment on relationships between chaos, scattering, causality, and bulk locality.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Fitzpatrick, A. Liam and Kaplan, Jared}, biburl = {https://www.bibsonomy.org/bibtex/21aff489f5b156a7b46e641b4d3093623/acastro}, citeulike-article-id = {13916986}, citeulike-linkout-0 = {http://arxiv.org/abs/1601.06164}, citeulike-linkout-1 = {http://arxiv.org/pdf/1601.06164}, day = 22, eprint = {1601.06164}, interhash = {194b567b933ccc4947965af22d16c5cf}, intrahash = {1aff489f5b156a7b46e641b4d3093623}, keywords = {ads3-cft2, chaos}, month = jan, posted-at = {2016-03-15 06:05:05}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{A Quantum Correction To Chaos}}, url = {http://arxiv.org/abs/1601.06164}, year = 2016 }