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

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

1998-01-09

arxiv.org/abs/solv-int/9801013v3

J. Nonlinear Math. Phys. 7 (2000), no. 1, 94-119

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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 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 $1+1$-dimensional Bethe ansatz, new string-like states and string-particle hybrids.

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