Spontaneous symmetry breaking in the present and early universe

Physics – Nuclear Physics

Scientific paper

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Scientific paper

Spontaneous symmetry breaking in λφ4 theory is formulated in terms of the operator φ2, and in a manner which requires no specific expectation value to be assigned to φ. At the one-loop order of perturbation theory, a renormalized effective action for a field ζ, linearly related to φ2, is obtained as a gradient expansion. Potential advantages of this formulation in applications to phase transitions in the early universe are discussed. They include the possibilities (i) of obtaining a well-defined semiclassical equation of motion, and (ii) of following the evolution of a field theory from an initial symmetrical high temperature state without the introduction, ad hoc, of regions in which <φ> ≠ 0.
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