Painlevé transcendent describes quantum correlation function of theXXZantiferromagnet away from the free-fermion point

DOI10.1088/0305-4470/29/17/032zbMath0904.34010arXivsolv-int/9604005OpenAlexW3105500065MaRDI QIDQ4393605

Fabian H. L. Essler, Holger Frahm, Alexander R. Its, Vladimir E. Korepin

Publication date: 19 January 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9604005

zbMATH Keywords

magnetic field interacting fermions Painlevé V transcendent quantum correlation functions antiferromagnetic spin-\({1\over 2}\) Heisenberg XXZ spin chain fermionic spectra

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Statistical mechanics of magnetic materials (82D40)

Related Items (6)

Connection problem of the first Painlevé transcendents with large initial data ⋮ Correlation functions of the spin-1/2 antiferromagnetic Heisenberg chain: exact calculation via the generating function ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics ⋮ Painlevé Tests, Singularity Structure and Integrability ⋮ Painlevé IV: A numerical study of the fundamental domain and beyond

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