2019/10/31 by Yingfei Gu, Alexei Kitaev, Subir Sachdev +1 · 3 citations
Physics and Astronomy · #Asymmetry #Black Holes and Theoretical Physics #Charge (physics) #Charge conservation #Dirac fermion #Fermion #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Renormalization #Scalar (mathematics) #Scalar field #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep02(2020)157
published as JHEP 02 (2020) 157 · v3: typos in appendix A fixed, one reference added; v2: 75 pages, 14 figures, new appendix A.6 and references added; v1: 73 pages, 13 figures, 1 spooky propagator
openalex created_date 2019/11/08 · openalex publication_date 2020/02/01 · arxiv created 2022/03/23 · arxiv updated 2022/03/24 · openalex updated_date 2026/08/05
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.