Towards a full solution of the large N double-scaled SYK model

DOI10.1007/JHEP03(2019)079zbMATH Open1414.81134arXiv1811.02584WikidataQ112154088 ScholiaQ112154088MaRDI QIDQ2421090

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Publication date: 8 June 2019

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Abstract: We compute the exact, all energy scale, 4-point function of the large $N$ double-scaled SYK model, by using only combinatorial tools and relating the correlation functions to sums over chord diagrams. We apply the result to obtain corrections to the maximal Lyapunov exponent at low temperatures. We present the rules for the non-perturbative diagrammatic description of correlation functions of the entire model. The latter indicate that the model can be solved by a reduction of a quantum deformation of SL$(2)$, that generalizes the Schwarzian to the complete range of energies.

Full work available at URL: https://arxiv.org/abs/1811.02584

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