Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
Vernadsky National Library of Ukraine
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Title |
Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
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Creator |
Deguchi, T.
Sato, J. |
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Description |
We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 case. We review the multiple-integral representations of correlation functions for the integrable higher-spin XXZ chains derived in a region of the massless regime including the anti-ferromagnetic point. Here we make use of the gauge transformations between the symmetric and asymmetric R-matrices, which correspond to the principal and homogeneous gradings, respectively, and we send the inhomogeneous parameters to the set of complete 2s-strings. We also give a numerical support for the analytical expression of the one-point functions in the spin-1 case.
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Date |
2019-02-13T18:12:08Z
2019-02-13T18:12:08Z 2011 |
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Type |
Article
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Identifier |
Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain / T. Deguchi, J. Sato // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 73 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 82B23 DOI:10.3842/SIGMA.2011.056 http://dspace.nbuv.gov.ua/handle/123456789/147175 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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