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Calculation of the energy-momentum tensor of the vacuum in an anisotropic universe

  • Physics of Elementary Particles and Field Theory
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Abstract

Subtractive methods (N-wave and adiabatic) which are applicable to the calculation of the energy-momentum tensor of quantum fields in curved space-time are in need of a foundation in terms of renormalizations. In the example of a scalar field in an anisotropic universe of Bianchi type I it is shown that the Pauli-Villars scheme, in which the renormalization is in fact realized separately in each mode, provides such a foundation. The technical difficulty obstructing the explicit regularization of divergent integrals in momentum space is shown. We calculate the polarization of the vacuum of a scalar field with arbitrary coupling to the curvature in a weakly anisotropic universe.

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Authors and Affiliations

  1. VNITsPV, USSR

    K. A. Bronnikov & E. M. Saminskii

Authors
  1. K. A. Bronnikov
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  2. E. M. Saminskii
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 93–98, July, 1986.

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Bronnikov, K.A., Saminskii, E.M. Calculation of the energy-momentum tensor of the vacuum in an anisotropic universe. Soviet Physics Journal 29, 583–586 (1986). https://doi.org/10.1007/BF00895509

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  • DOI: https://doi.org/10.1007/BF00895509

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