On the Integrability of the Bukhvostov-Lipatov Model

Details On the Integrability of the Bukhvostov-Lipatov Model On the Integrability of the Bukhvostov-Lipatov Model

1998-10-22

arxiv.org/abs/hep-th/9810184v2

Mod.Phys.Lett. A14 (1999) 2341-2352

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure, LaTeX2e, AMS; new references added

Scientific paper

10.1142/S021773239900242X

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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