Higher dimensional generalizations of the SYK model
By M. Berkooz, P. Narayan, M. Rozali, J. Simón. Journal of High Energy Physics, 2016
164 citations recorded by the source corpus.
We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains N Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/88562ee5718d7228502e4305c1650fdaabfd8163
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In Atomic and Molecular Physics, and Optics
- D. Stanford
- Phil Saad
- S. Shenker
- Jordan S. Cotler
- G. Turiaci
- H. Verlinde
- Alexandre Streicher
- Zhenbin Yang
In Condensed Matter Physics
Citations in the corpus
- Power-law out of time order correlation functions in the SYK model (2017, background): “The potential realization of a holographic principle of lowest possible dimension has triggered a surge of research activity on the SYK model and its quantum dynamics [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”
- Towards a 2d QFT analog of the SYK model (2017, methodology): “(2)Proposals for 2D generalizations of SYK with a discretized spatial dimension are given in [15, 16, 17].”
- Black holes and random matrices (2016, background): “At late times (4)Higher dimensional versions of SYK have been constructed in [23, 24].”