2018/12/01 by Yingfei Gu, Alexei Kitaev · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Combinatorics #Context (archaeology) #Exponent #Kernel (algebra) #Mathematical analysis #Mathematics #Physics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep02(2019)075
published as J. High Energ. Phys. (2019) 2019: 75 · 20 pages, 7 figures
arxiv created 2018/12/01 · openalex publication_date 2019/02/01 · arxiv updated 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract 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 βJ is above a certain threshold and nonlinear (in the magnitude of OTOCs) effects are ignored, the exponent in the butterfly wavefront is exactly 2 π/β .