  We present a calculation of the power spectrum generated in a classically
symmetry-breaking O(N) scalar field through inflationary quantum fluctuations,
using the large-N limit. The effective potential of the theory in de Sitter
space is obtained from a gap equation which is exact at large N. Quantum
fluctuations restore the O(N) symmetry in de Sitter space, but for the finite
values of N of interest, there is symmetry breaking and phase ordering after
inflation, described by the classical nonlinear sigma model. The main
difference with the usual cosmic texture scenario is that the initial
conditions possess long range correlations, with calculable exponents.
