High-temperature expansion of the grand thermodynamic potential for scalar particles in crossed electromagnetic fields

Abstract

The problem of a scalar particle in a constant crossed electromagnetic field ($\mathbf{E}\perp \mathbf{H}$ and $|\mathbf{E}|=|\mathbf{H}|$) is examined. The high-temperature expansion of the grand thermodynamic potential and vacuum energy with account for non-perturbative corrections are derived. The contribution from particles and antiparticles is considered separately. It is shown that the non-perturbative corrections depend on boundary conditions but do not depend on fields.

arXiv comment21 pages

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