Quenched equals annealed at leading order in the colored SYK model

Abstract

We consider a colored version of the SYK model, that is we distinguish the $D$ vector fermionic fields involved in the interaction by a color. We obtain the full $1/N$ series of both the quenched and annealed free energies of the model and show that at leading order the two are identical. The results can be used to study systematically the $1/N$ corrections to this leading order behavior.

final version

References in corpus (5)

• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• The complete $1/N$ expansion of a SYK--like tensor model
• Quantum Chaos and Holographic Tensor Models
• A Supersymmetric SYK-like Tensor Model

Cited by in corpus (28)

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• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
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• Towards a bulk description of higher spin SYK
• 2PI effective action for the SYK model and tensor field theories
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Phases Of Melonic Quantum Mechanics
• Contrasting SYK-like Models
• Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model
• Supersymmetric SYK Model with Global Symmetry
• Constructive tensor field theory: The $T_4^4$ model
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Rotating Black Holes in AdS, Extremality and Chaos
• Conformality of $1/N$ corrections in SYK-like models
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Reliability of the local truncations for the random tensor models renormalization group flow
• Tensorial generalization of characters
• Near Conformal Perturbation Theory in SYK Type Models
• Diagrammatics of the quartic $O(N{)}^3$-invariant Sachdev-Ye-Kitaev-like tensor model
• Generalized cut operation associated with higher order variation in tensor models
• Diagrammatic proof of the large $N$ melonic dominance in the SYK model
• A Renormalizable SYK-type Tensor Field Theory
• Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Universality of the Wigner-Gurau limit for random tensors