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Wightman function and vacuum polarization in models with non-trivial topology in the presence of boundaries

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

Wightman function and the vacuum expectation value of the scalar field squared are studied in models with a compact subspace in the presence of parallel plane boundaries, on which the field obeys Robin boundary conditions. By means of the generalized Abel-Plana summation formula we have explicitly extracted from the vacuum expectation values the parts induced by the boundaries. As a simple example, a one-dimensional internal space is considered compactified on a circle.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    T. Sh. Navasardyan & A. A. Saharian

Authors
  1. T. Sh. Navasardyan
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  2. A. A. Saharian
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Corresponding author

Correspondence to A. A. Saharian.

Additional information

Original Russian Text © T.Sh. Navasardyan, A.A. Saharian, 2014, published in Izvestiya NAN Armenii, Fizika, 2014, Vol. 49, No. 1, pp. 3–9.

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Navasardyan, T.S., Saharian, A.A. Wightman function and vacuum polarization in models with non-trivial topology in the presence of boundaries. J. Contemp. Phys. 49, 1–5 (2014). https://doi.org/10.3103/S1068337214010010

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  • DOI: https://doi.org/10.3103/S1068337214010010

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