Spectral form factor and semi-circle law in the time direction

DOI10.1007/JHEP02(2019)161zbMath1411.81155arXiv1811.09988OpenAlexW3098183000WikidataQ112154070 ScholiaQ112154070MaRDI QIDQ1735649

Kazumi Okuyama

Publication date: 28 March 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09988

zbMATH Keywords

1/N expansionmatrix modelsrandom systems

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Thermal quantum field theory (81T28)

Related Items (14)

JT gravity, KdV equations and macroscopic loop operators ⋮ Eigenvalue instantons in the spectral form factor of random matrix model ⋮ Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density ⋮ Modular-invariant large-\(N\) completion of an integrated correlator in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory ⋮ 't Hooft expansion of \(\mathrm{SO}(N)\) and \(\mathrm{Sp}(N)\) \(\mathcal{N} = 4\) SYM revisited ⋮ The dissipative spectral form factor for I.I.D. matrices ⋮ Large \(N\) expansion of an integrated correlator in \(\mathcal{N} = 4\) SYM ⋮ On the spectral form factor for random matrices ⋮ Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function ⋮ Exact \(1/N\) expansion of Wilson loop correlators in \(\mathcal{N} = 4\) Super-Yang-Mills theory ⋮ Spectral form factor for time-dependent matrix model ⋮ Differential identities for the structure function of some random matrix ensembles ⋮ Detecting few-body quantum chaos: out-of-time ordered correlators at saturation ⋮ Correlated disorder in the SYK₂ model

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