Wednesday, May 1, 2013

1304.7978 (Rafael I. Nepomechie et al.)

Algebraic Bethe ansatz for a singular solution    [PDF]

Rafael I. Nepomechie, Chunguang Wang
The Bethe equations for the spin-1/2 Heisenberg chain with N sites have a "two-string" solution i/2, -i/2 that is singular: both the corresponding energy and algebraic Bethe ansatz vector are divergent. We show that this solution must be carefully regularized in order to obtain the correct eigenvector. This regularization involves a parameter that can be determined using a generalization of the Bethe equations. It follows that this solution must be excluded for odd N.
View original: http://arxiv.org/abs/1304.7978

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