Quantum Integrability of Certain Boundary Conditions

Details Quantum Integrability of Certain Boundary Conditions Quantum Integrability of Certain Boundary Conditions

1998-09-24

arxiv.org/abs/hep-th/9809178v2

Phys.Lett. B447 (1999) 292-297

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex file, minor changes, one reference added

Scientific paper

10.1016/S0370-2693(98)01596-2

We study the quantum integrability of the O(N) nonlinear $\sigma$ (nls) model
and the O(N) Gross-Neveu (GN) model on the half-line. We show that the \nls
model is integrable with Neumann, Dirichlet and a mixed boundary condition, and
that the GN model is integrable if $\psi_+^a\x=\pm\psi_-^a\x$. We also comment
on the boundary condition found by Corrigan and Sheng for the O(3) nls model.

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