Notes on the SYK model in real time

DOI10.1134/S0040577918110090zbMath1411.82043arXiv1801.08118OpenAlexW3103087499WikidataQ112154253 ScholiaQ112154253MaRDI QIDQ1735006

Igor V. Volovich, Irina Ya. Aref'eva

Publication date: 27 March 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08118

zbMATH Keywords

\(1/N\) expansionSachdev-Ye-Kitaev modeldisorder model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of solids (82D20)

Related Items (8)

Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics ⋮ Revealing nonperturbative effects in the SYK model ⋮ Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups ⋮ Hamiltonian operators with zero-divergence constraints ⋮ Spontaneous symmetry breaking in fermionic random matrix model ⋮ Quasi-averages in random matrix models ⋮ Replica-nondiagonal solutions in the SYK model ⋮ Schwarzian functional integrals calculus

Cites Work

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• Manipulation of states of a degenerate quantum system
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• Black holes and random matrices
• Superanalysis, I. Differential calculus
• The spectrum in the Sachdev-Ye-Kitaev model
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• An investigation of \(\mathrm{AdS}_{2}\) backreaction and holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Thermalization after holographic bilocal quench
• All point correlation functions in SYK
• Replica-nondiagonal solutions in the SYK model
• The Asymptotic Behaviour of the Hermite Polynomials
• Flows in non-equilibrium quantum systems and quantum photosynthesis
• Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
• Asymptotic analysis of the Hermite polynomials from their differential–difference equation

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