On the Integrability of the Bukhvostov-Lipatov Model
Marco Ameduri, Costas J. Efthimiou, Bogomil Gerganov
Abstract
The integrability of the Bukhvostov-Lipatov four-fermion model is investigated. It is shown that the classical model possesses a current of Lorentz spin 3, conserved both in the bulk and on the half-line for specific types of boundary actions. It is then established that the conservation law is spoiled at the quantum level -- a fact that might indicate that the quantum Bukhvostov-Lipatov model is not integrable, contrary to what was previously believed.
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