EXACTLY SOLVABLE MODEL OF N-COUPLED LUTTINGER CHAINS

We calculate the exact Green function of a special model of N coupled Luttinger chains with arbitrary interchain hopping t(perpendicular to) . The model is exactly solvable via bosonization if the interchain int eraction does not fall off in the direction perpendicular to the chain s. For any finite N we find Luttinger liquid behavior and explicitly c alculate the anomalous dimension gamma((N)). However, the Luttinger li quid state does not preclude coherent interchain hopping. We also show that gamma((N)) --> 0 for N --> infinity, so that in the limit of inf initely many chains we obtain a Fermi liquid.