Quantum fluctuations of a complex, baryonic charged scalar field caused by
inflation can generate large domains, which convert later into antimatter
regions. As a result the Universe can become globally matter-dominated, with
minor contribution of antimatter regions. The distribution and evolution of
such antimatter regions could cause every galaxy to be a harbour of an
anti-star globular cluster. At the same time, the scenario does not lead to
large-scale isocuvature perturbations, which would disturb observable CMB
anisotropy. The existence of one of such antistar globular cluster in our
Galaxy does not contradict the observed γ-ray background, but the
expected fluxes of 4Heˉ and 3Heˉ from such an
antimatter object are definitely accessible to the sensitivity of the coming
AMS--02 experiment.Comment: Talk given at the XIVth Rencontres de Blois 2002 on Matter-Antimatter
Asymmetry, Blois, France, June, 2002, to be published in the proceedings, ed.
J. Tran Thanh Van, 4 latex pages, 2 eps figure