The Bethe-ansatz equations of the chiral-invariant Gross-Neveu model are reduced to a simple form in which the parameters of the vacuum solution have been eliminated. The resulting system of equations involves only the rapidities of physical particles and a minimal set of complex parameters needed to distinguish the various internal symmetry states of these particles. The analysis is performed without invoking the time-honored assumption that the solutions of the Bethe-ansatz equations, in the infinite-volume limit, are comprised entirely of strings ("bound states"). Surprisingly, it is found that the correct description of the n-particle states involves no strings of length greater than two (except for special values of the momenta). © 1982.
Destri, C., Lowenstein, J. (1982). Analysis of the Bethe-ansatz equations of the chiral-invariant Gross-Neveu model. NUCLEAR PHYSICS. B, 205(3), 369-385 [10.1016/0550-3213(82)90363-7].
Analysis of the Bethe-ansatz equations of the chiral-invariant Gross-Neveu model
DESTRI, CLAUDIO;
1982
Abstract
The Bethe-ansatz equations of the chiral-invariant Gross-Neveu model are reduced to a simple form in which the parameters of the vacuum solution have been eliminated. The resulting system of equations involves only the rapidities of physical particles and a minimal set of complex parameters needed to distinguish the various internal symmetry states of these particles. The analysis is performed without invoking the time-honored assumption that the solutions of the Bethe-ansatz equations, in the infinite-volume limit, are comprised entirely of strings ("bound states"). Surprisingly, it is found that the correct description of the n-particle states involves no strings of length greater than two (except for special values of the momenta). © 1982.
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