New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4

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dc.creatorBoos, Hermann
dc.creatorKorepin, Vladimir
dc.creatorSmirnov, Feodor
dc.date2003-04-08
dc.date2003-12-24
dc.date.accessioned2026-07-07T10:49:36Z
dc.date.available2026-07-07T10:49:36Z
dc.descriptionWe present a new form of solution to the quantum Knizhnik-Zamolodchikov equation on level -4 in a special case corresponding to the Heisenberg XXX spin chain. Our form is equivalent to the integral representation obtained by Jimbo and Miwa in 1996 . An advantage of our form is that it is reduced to the product of single integrals. This fact is deeply related to a cohomological nature of our formulae. Our approach is also based on the deformation of hyper-elliptic integrals and their main property -- deformed Riemann bilinear relation. Jimbo and Miwa also suggested a nice conjecture which relates solution of the qKZ on level -4 to any correlation function of the XXX model. This conjecture together with our form of solution to the qKZ makes it possible to prove a conjecture that any correlation function of the XXX model can be expressed in terms of the Riemann zeta-function at odd arguments and rational coefficients suggested in our previous papers. This issue will be discussed in our next publication.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0304077
dc.identifierhttp://arxiv.org/abs/hep-th/0304077
dc.identifierJ.Phys.A37:323-336,2004
dc.identifierdoi:10.1088/0305-4470/37/2/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184275
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleNew formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4
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