Original scientific paper

On Bethe strings in the two-particle sector of the closed SU(2)q invariant spin chain

Amon Ilakovac ; Department of Theoretical Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia
Marko Kolanović ; Department of Theoretical Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia
Silvio Pallua ; Department of Theoretical Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia
Predrag Prester ; Department of Theoretical Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia

Abstract

In this paper we investigate complex solutions of the Bethe equations in the two-particle sector, both for arbitrary finite number of sites and for the thermodynamic limit. We find the number of complex solutions (strings) and compare it with the string conjecture prediction. Some simple properties of these solutions like position in the spectrum, crossing of levels, connection to the ground state and transformation to the real solutions are discussed. Counting both real and complex solutions, we find expected number of highest-weight Bethe states.

Keywords

two-particle sector; arbitrary finite number of sites; thermodynamic limit; Bethe equations; number of complex solutions (strings); position in the spectrum; crossing of levels; connection to the ground state and transformation to the real solutions; number of highest-weight Bethe states

Hrčak ID:

305482

URI

https://hrcak.srce.hr/305482

Publication date:

1.9.1999.

Article data in other languages: croatian

Visits: 389 *