Revisiting Brownian SYK and its possible relations to de Sitter
Alexey Milekhin, Jiuci Xu
Abstract
A bstract We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of correlation functions, bounded spectrum and unexpected factorization of higher-point functions. We comment on how these results are related to de Sitter holography.
Topics & Concepts
PhysicsDe Sitter universeMathematical physicsBrownian motionQuantum electrodynamicsTheoretical physicsParticle physicsQuantum mechanicsUniverseQuantum many-body systemsTheoretical and Computational PhysicsMarkov Chains and Monte Carlo Methods