Particles and Strings in a 2 + 1-D Integrable Quantum Model

DOI

10.2991/jnmp.2000.7.1.7How to use a DOI?

Abstract

We give a review of some recent work on generalization of the Bethe ansatz in the case of 2 + 1-dimensional models of quantum field theory. As such a model, we consider one associated with the tetrahedron equation, i.e. the 2+1-dimensional generalization of the famous Yang­Baxter 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 + 1-dimensional Bethe ansatz, new string-like states and string-particle hybrids.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - I.G. Korepanov
PY  - 2000
DA  - 2000/02/01
TI  - Particles and Strings in a 2 + 1-D Integrable Quantum Model
JO  - Journal of Nonlinear Mathematical Physics
SP  - 94
EP  - 119
VL  - 7
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2000.7.1.7
DO  - 10.2991/jnmp.2000.7.1.7
ID  - Korepanov2000
ER  -