Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.3, pp.240-248

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.3, pp.240-248

The Density Matrix Deformation and Symmetry Breakdown in the Early Universe.
A.E. Shalyt-Margolin, V.I. Strazhev, and A.Ya. Tregubovich

This paper presents the results obtained on the density matrix deformation in physics of the early Universe as applied to a study into simple quantum field models with scalar fields. At low energies (far from the Plancks) this offers high-accuracy reproducibility of the results as with a nondeformed theory. However, in case of transition from low to higher energies and vice versa the description for new types of symmetry breakdown and restoration may be given depending on the rate of the deformation parameter variation in time. Besides, such a deformation enables one to find important constraints on the initial model parameters having an explicit physical meaning. It is demonstrated that an appropriate deformation opens up new possibilities for symmetry breakdown and restoration.
Key words: deformed density matrix, models with scalar fields, symmetry breakdown

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