Algebraic Bethe ansatz for singular solutions

Rafael I. Nepomechie, Chunguang Wang

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


The Bethe equations for the isotropic periodic spin-1/2 Heisenberg chain with N sites have solutions containing ±i/2 that are singular: both the corresponding energy and the algebraic Bethe ansatz vector are divergent. Such solutions must be carefully regularized. We consider a regularization involving a parameter that can be determined using a generalization of the Bethe equations. These generalized Bethe equations provide a practical way of determining which singular solutions correspond to eigenvectors of the model.

Original languageEnglish (US)
Article number325002
JournalJournal of Physics A: Mathematical and Theoretical
Issue number32
StatePublished - Aug 16 2013
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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