On the Influence of Einstein-Podolsky Effect on the Domain Wall Formation during the Cosmological Phase Transitions

Search for the mechanisms suppressing formation of Higgs field defects (e.g. domain walls) during the cosmological phase transitions is one of key problems in explanation of the observed large-scale uniformity of the space-time. One of the possible solutions can be based on accounting for Einstein-Podolsky-Rosen (EPR) correlations. Namely, if a coherent quantum state of the Higgs field was formed in the course of its previous evolution, then reduction to the state with broken symmetry during the phase transition should be correlated even at the scales exceeding the local cosmological horizons. Detailed consideration of the simplest one-dimensional cosmological model with Z₂ Higgs field demonstrates that, at certain parameters of the Lagrangian, EPR-correlations really result in a substantial suppression of spontaneous formation of the domain walls.