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


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Abstract

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.

About the authors

I. S. Kalinichenko

National Research Tomsk State University

Author for correspondence.
Email: theo@sibmail.com
Russian Federation, Tomsk

P. O. Kazinski

National Research Tomsk State University

Email: theo@sibmail.com
Russian Federation, Tomsk

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