Abstract:
The theory of complex scalar field in nonstationary isotropic metrics of the open
type is considered. It is shown that the self-interaction of the field in such a theory
leads to spontaneous breakdown of gauge symmetry. In distinction to the Goldstone
model one has no need to use the negative values of the mass squared. Interaction with
vector field leads to the Higgs phenomenon in the open Friedmann space. By means of
the analysis of corresponding nonlinear differential equations the energy density and
the pressure of the field in nonsymmetric vacuum state are found. The effective time
of existence of spontaneous breakdown of symmetry for massive field near the cosmological
singularity is calculated for the different laws of the expansion.
Citation:
A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Spontaneous breaking of gauge symmetry in a nonstationary isotropic metric”, TMF, 33:1 (1977), 42–53; Theoret. and Math. Phys., 33:1 (1977), 42–53
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A. A. Grib, S. G. Mamayev, V. M. Mostepanenko, “Vacuum Stress‐Energy Tensor and Particle Creation in Isotropic Cosmological Models”, Fortschr. Phys., 28:4 (1980), 173
A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Spontaneous breaking of CP-symmetry in a nonstationary isotropic metric”, Theoret. and Math. Phys., 37:2 (1978), 975–983
A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Breaking of conformal symmetry and quantization in curved spacetime”, Theoret. and Math. Phys., 37:3 (1978), 1065–1070
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