Statistical quantization of GUT models and phase diagrams of W condensation for the Universe with finite fermion density

Details Statistical quantization of GUT models and phase diagrams of W condensation for the Universe with finite fermion density Statistical quantization of GUT models and phase diagrams of W condensation for the Universe with finite fermion density

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.2363k&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 7, 1 October 1990, pp.2363-2373

Physics

3

Scientific paper

The problems of statistical quantization for grand-unified-theory models are studied using as an example the Weinberg-Salam model with finite fermion density under the conditions of neutral and electric charge conservation. The relativistic Rγ gauge with an arbitrary parameter is used and the one-loop effective potential together with its extremum equations are found. We demonstrate (and this is our main result) that the thermodynamic potential obtained from the effective one, after the mass shell for ξ is used, remains gauge dependent if all temperature ranges (not only the leading high-temperature terms) are considered. The contradiction detected within the calculational scheme is eliminated after the redefinition of the model studied is made with the aid of the terms which are proportional to the ``non-Abelian'' chemical potential and equal to zero identically when the unitary gauge is fixed. The phase diagrams of the W condensation are established and all their peculiarities are displayed. We found for the universe with a zero neutral charge density that the W condensate occurs at any small fermion density ρ and appears at first near the point of symmetry restoration. For all ρ≠0 this condensate exists only in the finite-temperature domain and evaporates completely or partially when T goes to zero.

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