Dirac fast scramblers
Jaewon Kim, Ehud Altman, Xiangyu Cao
Abstract
The Sachdev-Ye-Kitaev model is thought to provide a promising approach to strongly correlated fermions. However, it is a zero-dimensional system, and generalizations to higher dimensions often come with undesirable properties. Here, the authors propose elegant solutions to this conundrum in one and two dimensions, dubbed ``Dirac fast scramblers.'' The latter also turn out to be an advantageous large-$N$ limit of the Gross-Neveu-Yukawa theory, which captures anomalous dimensions that are usually only accessible as $1/N$ corrections.
Topics & Concepts
Limit (mathematics)FermionDirac (video compression format)Yukawa potentialDirac fermionTheoretical physicsPhysicsZero (linguistics)Quantum mechanicsMathematicsMathematical analysisPhilosophyLinguisticsNeutrinoBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesParticle physics theoretical and experimental studies