Quantum Stability for the Heisenberg Ferromagnet

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dc.creatorBargheer, Till
dc.creatorBeisert, Niklas
dc.creatorGromov, Nikolay
dc.date2008-04-02
dc.date.accessioned2026-07-07T10:14:00Z
dc.date.available2026-07-07T10:14:00Z
dc.descriptionHighly spinning classical strings on RxS^3 are described by the Landau-Lifshitz model or equivalently by the Heisenberg ferromagnet in the thermodynamic limit. The spectrum of this model can be given in terms of spectral curves. However, it is a priori not clear whether any given admissible spectral curve can actually be realised as a solution to the discrete Bethe equations, a property which can be referred to as stability. In order to study the issue of stability, we find and explore the general two-cut solution or elliptic curve. It turns out that the moduli space of this elliptic curve shows a surprisingly rich structure. We present the various cases with illustrations and thus gain some insight into the features of multi-cut solutions. It appears that all admissible spectral curves are indeed stable if the branch cuts are positioned in a suitable, non-trivial fashion.
dc.description82 pages, a figure a page or so
dc.identifierhttps://arxiv.org/abs/0804.0324
dc.identifierhttp://arxiv.org/abs/0804.0324
dc.identifierNew J. Phys. 10 (2008) 103023
dc.identifierdoi:10.1088/1367-2630/10/10/103023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172730
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleQuantum Stability for the Heisenberg Ferromagnet
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