Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie, Chunguang Wang

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

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
Volume47
Issue number50
DOIs
StatePublished - Dec 19 2014

Keywords

  • 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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