Year: 2025
Type: article
Abstract: A bstract This paper investigates the spectral form factor (SFF) of the quadratic R -para-particle Sachdev-Ye-Kitaev ( R -PSYK 2 ) model with various random matrix ensemble couplings. We generalize previous work on Gaussian Unitary Ensemble (GUE) couplings to all three Gaussian ensembles (GUE, GOE, GSE) and three circular ensembles (CUE, COE, CSE). Through analytical and numerical methods, we establish precise correspondences between GUE and CUE results, demonstrating their SFFs satisfy $$ {\mathcal{K}}_{\textrm{GUE}}(2t) $$ K GUE 2 t ≈ $$ {\mathcal{K}}_{\textrm{CUE}}(t) $$ K CUE t in the time regime 1 ≪ t ≪ N . For the symplectic ensembles, we observe similar behavior with appropriate time rescaling, while we only provide the calculation method for the orthogonal ensembles.
Source: Journal of High Energy Physics
Author: Tingfei Li
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G4966918070
OpenAlex ID: W4415665142