On large $q$ expansion in the Sachdev-Ye-Kitaev model

Abstract

We consider the Sachdev-Ye-Kitaev (SYK) model where interaction involves $q$ fermions at a time. We find the next order correction to the thermal two-point function in the large $q$ expansion. Using this result we find the next order correction to the SYK free energy.

4 pages, 5 figures

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• Symmetry Breaking in Coupled SYK or Tensor Models
• Phases Of Melonic Quantum Mechanics
• Constructing AdS_2 flow geometries
• Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
• Thermalization of many many-body interacting SYK models
• Correlators of double scaled SYK at one-loop
• Thermodynamics and Many Body Chaos for generalized large q SYK models
• The shared universality of charged black holes and the many many-body SYK model
• Spectral form factor in the double-scaled SYK model
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Near Conformal Perturbation Theory in SYK Type Models
• Dynamics and Charge Fluctuations in Large-q Sachdev-Ye-Kitaev Lattices
• Ringdown in the SYK model
• SYK Model with global symmetries in the double scaling limit
• SYK does not Transit Gloria Mundi just yet
• Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
• A route from maximal chaoticity to integrability
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model