2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24981We present a model of N-component hard-core bosons on a lattice. The limit N to infinity can be solved exactly. A saddle point approximation leads to a 1/N expansion and allows the calculation of physical quantities like the density of the condensate, the correlation between the components and the density-density correlation function and the correlation between different components. We find a superfluid phase with a tendency towards a Mott insulator at high densities and finite N.8 pages, 3 figures, small changes, error corrected in AppendixOther Condensed Mattertext