A late times approximation for the SYK spectral form factor
arXiv:2102.01653
Abstract
We find a late times approximation for the SYK spectral form factor from a large 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.
arXiv commentv2: References added
References in corpus (12)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Eternal Black Holes in AdS
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Bekenstein-Hawking Entropy and Strange Metals
- Holographic metals and the fractionalized Fermi liquid
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
- The Trouble with de Sitter Space
- A semiclassical ramp in SYK and in gravity
- Mean-Field Theory of a Quantum Heisenberg Spin Glass
- Scrambling the spectral form factor: unitarity constraints and exact results
- Local Operators in the Eternal Black Hole
- Very Long Time Scales and Black Hole Thermal Equilibrium