Abstract
We argue that “stringy” effects in a putative gravity-dual picture for SYK-like models are related to the branching time, a kinetic coefficient defined in terms of the retarded kernel. A bound on the branching time is established assuming that the leading diagrams are ladders with thin rungs. Thus, such models are unlikely candidates for sub-AdS holography. In the weak coupling limit, we derive a relation between the branching time, the Lyapunov exponent, and the quasiparticle lifetime using two different approximations.
Highlights
We present a proof of the Lemma stated in the main text
The lemma asserts a bound on the rate of phase winding for the retarded and advanced fermionic Green functions
Our goal is to find a bound on the derivative of f (z) at z0 = ω + is
Summary
The remainder of this paper is organized as follows. It is derived by relating the branching time to the winding speed of the phase of the Green function. The required upper bound for the winding speed is proved in appendix B.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
