The spectrum in the SachdevYeKitaev model
Abstract
The SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, alltoall quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the SchwingerDyson equation and compute the spectrum of twoparticle states in SYK, finding both a continuous and discrete tower. The fourpoint function is expressed as a sum over the spectrum. The sum over the discrete tower is evaluated.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2016
 DOI:
 10.1007/JHEP04(2016)001
 arXiv:
 arXiv:1601.06768
 Bibcode:
 2016JHEP...04..001P
 Keywords:

 1/N Expansion;
 AdSCFT Correspondence;
 Field Theories in Lower Dimensions;
 M(atrix) Theories;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 29 pages, 2 figures