On the Integrability of the Bukhvostov-Lipatov Model

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.

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

References in corpus (5)

• Structure Constants in the $N=1$ Super-Liouville Field Theory
• Tunneling in quantum wires I: Exact solution of the spin isotropic case
• Tunneling in quantum wires II: A new line of IR fixed points
• Is the classical Bukhvostov-Lipatov model integrable? A Painlevé analysis
• Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality

Cited by in corpus (4)

• Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
• Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model
• Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences
• Vacuum energy of the Bukhvostov-Lipatov model