Counting free fermions on a line: a Fisher–Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit

DOI10.1088/1751-8113/46/8/085003zbMath1321.82015arXiv1112.2530OpenAlexW3101663592MaRDI QIDQ4915692

Dmitri A. Ivanov, Vadim V. Cheianov, Alexander G. Abanov

Publication date: 11 April 2013

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

Full work available at URL: https://arxiv.org/abs/1112.2530

zbMATH Keywords

Toeplitz determinant free fermions matrix Riemann-Hilbert problem Wiener-Hopf determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Boundary value problems in the complex plane (30E25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

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Symmetry-resolved entanglement entropy in critical free-fermion chains ⋮ Entanglement entropy and particle number cumulants of disordered fermions ⋮ Zero-mode entanglement across a conformal defect ⋮ Entanglement entropies of an interval in the free Schrödinger field theory on the half line ⋮ Emptiness formation probability, Toeplitz determinants, and conformal field theory ⋮ Conformal field theory of Painlevé VI ⋮ Emptiness formation probability and Painlevé V equation in the XY spin chain ⋮ Entanglement entropies of an interval in the free Schrödinger field theory at finite density ⋮ Resurgence, Painlevé equations and conformal blocks

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