Darboux coordinates and isospectral Hamiltonian flows for the massive thirring model |
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Authors: | M A Wisse |
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Institution: | (1) Département de mathématiques et de statistique, Université de Montréal, CP 6128-A, H3C 3J7 Montréal, Québec, Canada |
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Abstract: | The two-dimensional massive Thirring model is described as the integrability condition of a pair of commuting completely integrable isospectral Hamiltonian flows in the dual
(2)+* of the positive part
(2)+ of the twisted loop algebra
(2). Action-angle coordinates corresponding to the spectral invariants are derived on rational coadjoint orbits and a linearization of the flows obtained in the Jacobi variety of the underlying invariant spectral curve through a Liouville generating function for canonical coordinates.Research supported in part by the Natural Sciences Engineering Research Council of Canada and the Fonds FCAR du Québec. |
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Keywords: | 14-XX |
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