Quantum integrability of certain boundary conditions

Authors
Moriconi, M De Martino, A
Citation
M. Moriconi et A. De Martino, Quantum integrability of certain boundary conditions, PHYS LETT B, 447(3-4), 1999, pp. 292-297
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
447
Issue
3-4
Year of publication
1999
Pages
292 - 297
Database
ISI
SICI code
0370-2693(19990211)447:3-4<292:QIOCBC>2.0.ZU;2-2
Abstract
We study the quantum integrability of the O(N) Nonlinear sigma (nl sigma) m odel and the O(N) Gross-Neveu (GN) model on the: half-line. We show that th e nl sigma model is integrable with Neumann, Dirichlet and a mixed boundary condition and that the GN model is integrable if psi(+)(\x=0)(a) = +/- psi (-)(a)\(x=0). We also comment on the boundary condition found by Corrigan a nd Sheng for the O(3) n/sigma model. (C) 1999 Elsevier Science B.V. All rig hts reserved.