The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909998979743744 |
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| author | Borrelli, William Morellini, Umberto |
| author_facet | Borrelli, William Morellini, Umberto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16743 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature Borrelli, William Morellini, Umberto Mathematical Physics Analysis of PDEs 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. |
| title | The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2601.16743 |