Quantum integrability of bosonic Massive Thirring model in continuum

Details Quantum integrability of bosonic Massive Thirring model in continuum Quantum integrability of bosonic Massive Thirring model in continuum

2004-06-10

arxiv.org/abs/hep-th/0406090v1

J.Math.Phys. 46 (2005) 012301

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 23 pages, no figures

Scientific paper

10.1063/1.1818722

By using a variant of the quantum inverse scattering method, commutation relations between all elements of the quantum monodromy matrix of bosonic Massive Thirring (BMT) model are obtained. Using those relations, the quantum integrability of BMT model is established and the S-matrix of two-body scattering between the corresponding quasi particles has been obtained. It is observed that for some special values of the coupling constant, there exists an upper bound on the number of quasi-particles that can form a quantum-soliton state of BMT model. We also calculate the binding energy for a N-soliton state of quantum BMT model.

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