Coleman-Weinberg symmetry breaking in the early universe with an inhomogeneity.

Physics

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Cosmology: Inflationary Universe, Early Universe: Phase Transitions

Scientific paper

The 1-loop renormalized effective potential for a φ4 theory in the early universe with a small inhomogeneity is evaluated under the adiabatic approximation. It is used to investigate the Coleman-Weinberg symmetry breaking processes usually leading to inflationary cosmologies in the presence of an inhomogeneity. The result shows that whether the symmetry is radiatively broken or not will crucially depend upon the scalar-gravitational coupling ξ and the magnitude of the scalar curvature R. In particular, it is shown how the mode-mixing behaviour resulting from the inhomogeneity of spacetime is naturally replaced by introducing a non-local term into the field equation.

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