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  Quantum Stability for the Heisenberg Ferromagnet

Bargheer, T., Beisert, N., & Gromov, N. (2008). Quantum Stability for the Heisenberg Ferromagnet. New Journal of Physics, 10: 103023. doi:10.1088/1367-2630/10/10/103023.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1377-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-137B-F
Genre: Journal Article

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 Creators:
Bargheer, Till1, Author              
Beisert, Niklas2, Author              
Gromov, Nikolay3, Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              
2Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24016              
3External Organizations, ou_persistent22              

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Free keywords: hep-th cond-mat.stat-mech math-ph math.MP
 Abstract: Highly 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.

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 Dates: 2008-10-31
 Publication Status: Published online
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 Rev. Method: Peer
 Identifiers: DOI: 10.1088/1367-2630/10/10/103023
arXiv: 0804.0324
eDoc: 354846
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Title: New Journal of Physics
Source Genre: Journal
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Pages: - Volume / Issue: 10 Sequence Number: 103023 Start / End Page: - Identifier: ISSN: 1367-2630