English

Particles and strings in a (2+1)-D integrable quantum model

solv-int 2015-06-26 v3 Exactly Solvable and Integrable Systems

Abstract

We give a review of some recent work on generalization of the Bethe ansatz in the case of 2+12+1-dimensional models of quantum field theory. As such a model, we consider one associated with the tetrahedron equation, i.e. the 2+12+1-dimensional generalization of the famous Yang--Baxter equation. We construct some eigenstates of the transfer matrix of that model. There arise, together with states composed of point-like particles analogous to those in the usual 1+11+1-dimensional Bethe ansatz, new string-like states and string-particle hybrids.

Keywords

Cite

@article{arxiv.solv-int/9801013,
  title  = {Particles and strings in a (2+1)-D integrable quantum model},
  author = {Igor G. Korepanov},
  journal= {arXiv preprint arXiv:solv-int/9801013},
  year   = {2015}
}