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A Quantum Correction To Chaos · Around

2016

A Quantum Correction To Chaos

Fitzpatrick, A. Liam, Kaplan, Jared

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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.

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