The spectrum in the Sachdev-Ye-Kitaev model

Joseph Polchinski, Vladimir Rosenhaus
2016 Journal of High Energy Physics  
The SYK model consists of N≫ 1 fermions in 0+1 dimensions with a random, all-to-all 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 Schwinger-Dyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. The four-point function is expressed as a sum over the spectrum. The sum over the discrete tower is evaluated.
doi:10.1007/jhep04(2016)001 fatcat:hinoikjwerc4jls6i6zk43pf6y