Volume 119, Number 3, August 2017
|Number of page(s)||6|
|Published online||23 October 2017|
Quenched equals annealed at leading order in the colored SYK model
Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay F-91128 Palaiseau, France and Perimeter Institute for Theoretical Physics - 31 Caroline St. N, N2L 2Y5, Waterloo, ON, Canada
Received: 20 April 2017
Accepted: 20 September 2017
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.
PACS: 04.60.-m – Quantum gravity / 02.10.Yn – Matrix theory
© EPLA, 2017
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