Integrable Generalized Thirring Model

Details Integrable Generalized Thirring Model Integrable Generalized Thirring Model

1996-07-02

arxiv.org/abs/hep-th/9607018v3

Nucl.Phys. B487 (1997) 513-525

Physics

High Energy Physics

High Energy Physics - Theory

Final version to be published in Nucl.Phys.B. Only minor changes. An equation was deleted and a conclusion revised, and a few

Scientific paper

10.1016/S0550-3213(96)00715-8

We derive the conditions that the coupling constants of the Generalized Thirring Model have to satisfy in order for the model to admit an infinite number of commuting classical conserved quantities. Our treatment uses the bosonized version of the model, with periodic boundary conditions imposed on the space coordinate. Some explicit examples that satisfy these conditions are discussed. We show that, with a different set of boundary conditions, there exist additional conserved quantities, and we find the Poisson Bracket algebra satisfied by them.

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