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Vacuum means of energy-momentum tensor of quantized fields on manifolds of different topology and geometry. I

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Abstract

We consider the topological and geometric relations of the energy-momentum tensor of zero-point vacuum vibrations of a scalar field in two-dimensional manifolds. It is shown that the energy density can change sign under continuous deformation of the region.

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Authors and Affiliations

  1. V. I. Ul'yanov-Lenin Electrotechnical Institute, Leningrad

    S. G. Mamaev & N. N. Trunov

Authors
  1. S. G. Mamaev
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  2. N. N. Trunov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 88–93, July, 1979.

The authors are indebted to A. A. Grib and to the participants in the Leningrad gravitational seminar, which he heads, for their useful discussion.

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Mamaev, S.G., Trunov, N.N. Vacuum means of energy-momentum tensor of quantized fields on manifolds of different topology and geometry. I. Soviet Physics Journal 22, 766–770 (1979). https://doi.org/10.1007/BF00902896

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  • DOI: https://doi.org/10.1007/BF00902896

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