Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie, Chunguang Wang

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

Original languageEnglish (US)
Article number505004
JournalJournal of Physics A: Mathematical and Theoretical
Issue number50
StatePublished - Dec 19 2014
Externally publishedYes


  • Bethe ansatz
  • Quantum spin chain
  • Singular solutions

ASJC Scopus subject areas

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


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