Work

The spectrum in the Sachdev-Ye-Kitaev model

Year: 2016

Type: article

Abstract: 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 SchwingerDyson 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep04(2016)001

Authors: Joseph Polchinski, Vladimir Rosenhaus

Institutions: University of California, Santa Barbara, Kavli Institute for Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Awards: G258938352, G6771358743, Problems in Theoretical Physics