A-PHASE AND B-PHASE NUCLEATION AT A FAST SUPERFLUID TRANSITION IN HE-3 - CAN IT BE RELEVANT FOR COSMOLOGY

We discuss the extension of the Kibble-Zurek scenario of defects creat ion at cosmological phase transitions to the case when alternative sym metries may be broken and different states nucleated independently. We have calculated the nucleation probability of the various states of s uperfluid He-3 during a superfluid transition. Our results can explain the asymmetry of transition between non equilibrium A and B phases, t riggered by nuclear reaction. The new scenario is a possible alternati ve to the well-known ''baked Alaska'' scenario. This scenario may also be relevant for the early universe, where two different states, SU(3) x SU(2) x U(1) and SU(4) x U(1) can be nucleated after the transition from SU(5) state.