  We study the ground state of a uniform Bose gas at zero temperature in the
Hartree-Fock-Bogoliubov (HFB) approximation. We find a solution of the HFB
equations which obeys the Hugenholtz-Pines theorem. This solution imposes a
macroscopic squeezing to the condensed state and as a consequence displays
large particle number fluctuations. Particle number conservation is restored by
building the appropriate U(1) invariant ground state via the superposition of
the squeezed states. The condensed particle number distribution of this new
ground state is calculated as well as its fluctuations which present a normal
behavior.
