From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ
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Accession number;05A0202290
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| Title;From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ |
| Author;
FIORAVANTI D
(Univ. York, York, Gbr)
ROSSI M
(Kyoto Univ., Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.04-58;PAGE.41P(2005)
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| Figure&Table&Reference;REF.41 |
| Pub. Country;Japan |
| Language;English |
| Abstract;The spin 1/2 XYZ chain is studied in the disordered regime. Based on the Bethe Ansatz, a nonlinear integral equation is derived for the vacuum counting function. From the double scaling limit, which describes the sine-Gordon theory on cylindrical geometry, the scattering amplitudes involving solitons/antisolitons and bound states are derived. The method of nonlinear integral equation is valid only for the finite geometries. It is, however, useful to (re)discover the S-matrices. |
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