Painlevé Transcendent Describes Quantum Correlation Function of the XXZ Antiferromagnet away from the free-fermion point

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dc.creatorEssler, Fabian H. L.
dc.creatorFrahm, Holger
dc.creatorIts, Alexander R.
dc.creatorKorepin, Vladimir E.
dc.date1996-04-25
dc.date.accessioned2026-07-07T10:59:10Z
dc.date.available2026-07-07T10:59:10Z
dc.descriptionWe consider quantum correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field $h_c$ (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of {\sl interacting} fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra.
dc.description10 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/solv-int/9604005
dc.identifierhttp://arxiv.org/abs/solv-int/9604005
dc.identifierJ.Phys.A29:5619-5626,1996
dc.identifierdoi:10.1088/0305-4470/29/17/032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187358
dc.subjectExactly Solvable and Integrable Systems
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titlePainlevé Transcendent Describes Quantum Correlation Function of the XXZ Antiferromagnet away from the free-fermion point
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