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Nondiagonal Values of the Heat Kernel for Scalars in a Constant Electromagnetic Field

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An original method for finding the nondiagonal values of the heat kernel associated with the wave operator Fourier-transformed in time is proposed for the case of a constant external electromagnetic field. The connection of the trace of such a heat kernel to the one-loop correction to the grand thermodynamic potential is indicated. The structure of its singularities is analyzed.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    I. S. Kalinichenko & P. O. Kazinski

Authors
  1. I. S. Kalinichenko
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  2. P. O. Kazinski
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Correspondence to I. S. Kalinichenko.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 182–186, November, 2016.

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Kalinichenko, I.S., Kazinski, P.O. Nondiagonal Values of the Heat Kernel for Scalars in a Constant Electromagnetic Field. Russ Phys J 59, 1942–1947 (2017). https://doi.org/10.1007/s11182-017-0999-5

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  • DOI: https://doi.org/10.1007/s11182-017-0999-5

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