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 language | English (US) |
|---|---|
| Article number | 505004 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 47 |
| Issue number | 50 |
| DOIs | |
| State | Published - 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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Cite this
Nepomechie, R. I., & Wang, C. (2014). Twisting singular solutions of Bethe's equations. Journal of Physics A: Mathematical and Theoretical, 47(50), [505004]. https://doi.org/10.1088/1751-8113/47/50/505004