4.4 Article

A quantum correction to chaos

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP05(2016)070

关键词

1/N Expansion; AdS-CFT Correspondence; Conformal and W Symmetry; Quantum Dissipative Systems

资金

  1. NSF [PHY-1316665, PHY-1454083]
  2. Sloan Foundation

向作者/读者索取更多资源

We use results on Virasoro conformal blocks to study chaotic dynamics in CFT2 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) = 2 pi/beta (1 + 12/c). 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 CFT2 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.

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