On the Influence of Einstein-Podolsky-Rosen (EPR) Effect on the   Probability of Domain-Wall Formation during a Cosmological Phase Transition
  Evading formation of the domain walls in cosmological phase transitions is one of the key problems to be solved for getting agreement with the observed large-scale homogeneity of the Universe. The previous attempts to get around this obstacle led to imposing severe observational constraints on the parameters of the fields involved. Our aim is to show that yet another way to overcome the above problem is accounting for EPR effect. Namely, if the scalar (Higgs) field was presented by a single quantum state at the initial instant of time, then its reduction during a phase transition at some later instant should be correlated even at distances exceeding the local cosmological horizon. By considering a simplest 1D model with Z_2 Higgs field, we demonstrate that EPR effect really can substantially reduce the probability of spontaneous creation of the domain walls. 
Yurii V. Dumin (IZMIRAN, Russ. Acad. Sci.)