We demonstrate, by direct use of the asymptotic Green’s functions of Korepin and Ren, that the one-dimensional repulsive U Hubbard model has the property of ‘‘confinement,’’ in that weak interchain coupling does not cause coherent particle motion in the transverse direction at absolute zero. Implications for real one-dimensional systems and for the two-dimensional Hubbard model are discussed.

• Received 29 July 1991

DOI:https://doi.org/10.1103/PhysRevLett.67.3844