Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
We study chaotic dynamics in two-dimensional conformal field theory through out-of-time-order thermal correlators of the form ⟨W(t)VW(t)V⟩. We reproduce holographic calculations similar to those of Shenker and Stanford, by studying the large c Virasoro identity conformal block. The contribution of t...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/98897 https://orcid.org/0000-0002-8348-6506 |
| Summary: | We study chaotic dynamics in two-dimensional conformal field theory through out-of-time-order thermal correlators of the form ⟨W(t)VW(t)V⟩. We reproduce holographic calculations similar to those of Shenker and Stanford, by studying the large c Virasoro identity conformal block. The contribution of this block to the above correlation function begins to decrease exponentially after a delay of ~t[subscript *] - (β/2π)logβ[superscript 2]E[subscript w]E[subscript v], where t[subscript *] is the fast scrambling time (β/2π)logc and E[subscript w],E[subscript v] are the energy scales of the W,V operators. |
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