期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2019)075
关键词
AdS-CFT Correspondence; 1/N Expansion; Models of Quantum Gravity
资金
- Gordon and Betty Moore Foundation EPiQS Initiative [GBMF-4306]
- Simons Foundation [376205]
- Gordon and Betty Moore Foundation
- National Science Foundation [PHY-1607611]
- NSF [PHY-1748958]
- Institute of Quantum Information and Matter
We derive an identity relating the growth exponent of early-time OTOCs, the pre-exponential factor, and a third number called branching time. The latter is defined within the dynamical mean-field framework, namely, in terms of the retarded kernel. This identity can be used to calculate stringy effects in the SYK and similar models; we also explicitly define strings in this context. As another application, we consider an SYK chain. If the coupling strength beta J is above a certain threshold and nonlinear (in the magnitude of OTOCs) effects are ignored, the exponent in the butterfly wavefront is exactly 2 pi/beta.
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