A late times approximation for the SYK spectral form factor

2021/02/02 by Matteo A. Cardella, Cardella, Matteo A.
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2102.01653

Abstract

We find a late times approximation for the SYK spectral form factor from a large N steepest descent version of the path integral over two replica collective fields. Main ingredients are a suitable uv regularization of the two replica kinetic operator, the property of its Fourier transform and some spectral analysis of the four point function two replica ladder kernel.

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