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