Notes on the complex Sachdev-Ye-Kitaev model

By Yingfei Gu, Alexei Y. Kitaev, S. Sachdev, G. Tarnopolsky. Journal of High Energy Physics, 2019

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We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with N  ≫ 1 flavors and a global U(1) charge. We provide a general definition of the charge in the ( G, Σ) formalism, and compute its universal relation to the infrared asymmetry of the Green function. The same relation is obtained by a renormalization theory. The conserved charge contributes a compact scalar field to the effective action, from which we derive the many-body density of states and extract the charge compressibility. We compute the latter via three distinct numerical methods and obtain consistent results. Finally, we present a two dimensional bulk picture with free Dirac fermions for the zero temperature entropy.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/59b327a8fcbb9b0cd3025b217af4f23aa54fa545