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Spontaneous symmetry breaking due to polarization corrections

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Abstract

A model of self-interacting scalar and gravitational fields is constructed, in which the vacuum state with spontaneously broken symmetry arises as a solution of the field equations. The gravitational Lagrangian containing curvature-squared contributions is treated in the first-order formalism. The problems of cosmological singularities and conformal anomalies are discussed. In the case of vanishing Weyl tensor and constant scalar curvature, the curvature-squared contributions may be interpreted as being generated by the vacuum polarization, also in first-order formalism.

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Authors and Affiliations

  1. Einstein-Laboratorium der AdW der DDR, Rosa-Luxemburg Str. 17a, 1502, Potsdam-Babelsberg, German Democratic Republic

    U. Bleyer

  2. State Committee for Standards, Leninski pr. 9, Moscow, USSR

    V. M. Nikolaenko

Authors
  1. U. Bleyer
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  2. V. M. Nikolaenko
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Bleyer, U., Nikolaenko, V.M. Spontaneous symmetry breaking due to polarization corrections. Gen Relat Gravit 19, 525–535 (1987). https://doi.org/10.1007/BF00760657

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  • DOI: https://doi.org/10.1007/BF00760657

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