Calculus of Variations and Geometric Measure Theory

W. Borrelli - U. Morellini

The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature

created by borrelli on 17 Jun 2026

[BibTeX]

preprint

Inserted: 17 jun 2026
Last Updated: 17 jun 2026

Year: 2026

ArXiv: 2601.16743 PDF

Abstract:

In this paper we consider a model of the Dirac vacuum in classical electromagnetic fields at positive temperature. We adopt the Pauli-Villars regularisation technique in order to properly define the free energy of the vacuum, extending the previous work by the second named author on the purely magnetic case. This work is intended as a first step in understanding polarisation effects in the vacuum at positive temperature, in presence of both electrostatic and magnetic potentials.