Thirring sine-Gordon relationship by canonical methods

Details Thirring sine-Gordon relationship by canonical methods Thirring sine-Gordon relationship by canonical methods

2002-10-08

arxiv.org/abs/hep-th/0210074v4

Eur.Phys.J. C32 (2003) 443-452

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 19 pages, accepted to Eur. Phys. J. C

Scientific paper

10.1140/epjc/s2003-01401-4

Using the canonical method developed for anomalous theories, we present the independent rederivation of the quantum relationship between the massive Thirring and the sine-Gordon models. The same method offers the possibility to obtain the Mandelstam soliton operators as a solution of Poisson brackets "equation" for the fermionic fields. We checked the anticommutation and basic Poisson brackets relations for these composite operators. The transition from the Hamiltonian to the corresponding Lagrangian variables produces the known Mandelstam's result.

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