An obstacle to sub-AdS holography for SYK-like models
Pengfei Zhang, Yingfei Gu, Alexei Kitaev
Abstract
A bstract 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.
Topics & Concepts
PhysicsBranching (polymer chemistry)HolographyObstacleQuasiparticleStatistical physicsUpper and lower boundsCoupling (piping)Theoretical physicsClassical mechanicsQuantum electrodynamicsKinetic energyAsymmetryBound stateBranching fractionQuantum mechanicsDuality (order theory)Coupling strengthKinetic termParticle physicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories