Vacuum polarization and pair production in time-dependent electric fields: A quantum-kinetic-equation approach

Fuente: arXiv
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Autori principali: Aleksandrov, I. A., Bokhan, V. A., Baksheev, A. I., Kudlis, A.
Natura: Preprint
Pubblicazione: 2026
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author Aleksandrov, I. A.
Bokhan, V. A.
Baksheev, A. I.
Kudlis, A.
author_facet Aleksandrov, I. A.
Bokhan, V. A.
Baksheev, A. I.
Kudlis, A.
contents The evolution of the vacuum state in a time-dependent external electric field of arbitrary polarization is investigated within a nonperturbative framework of quantum kinetic equations (QKEs). In our previous work [Phys. Rev. Res. 6, 043009 (2024)], a revised version of the QKEs was derived by using an adiabatic basis constructed from one-particle Hamiltonian eigenfunctions in a spatially homogeneous electric field. In this study, we present an extensive analysis of these equations with particular emphasis on observable quantities. Specifically, we compute momentum-resolved particle yields, the induced electron-positron current, the energy-momentum tensor, and the angular-momentum tensor. We also discuss in detail the charge-renormalization procedure required to remove logarithmic divergences. It is shown that our results are consistent with the previous findings obtained via the Dirac-Heisenberg-Wigner formalism. Our analysis provides a firmer theoretical basis for investigations of nonperturbative effects in strong electric fields.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00873
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Vacuum polarization and pair production in time-dependent electric fields: A quantum-kinetic-equation approach
Aleksandrov, I. A.
Bokhan, V. A.
Baksheev, A. I.
Kudlis, A.
High Energy Physics - Phenomenology
The evolution of the vacuum state in a time-dependent external electric field of arbitrary polarization is investigated within a nonperturbative framework of quantum kinetic equations (QKEs). In our previous work [Phys. Rev. Res. 6, 043009 (2024)], a revised version of the QKEs was derived by using an adiabatic basis constructed from one-particle Hamiltonian eigenfunctions in a spatially homogeneous electric field. In this study, we present an extensive analysis of these equations with particular emphasis on observable quantities. Specifically, we compute momentum-resolved particle yields, the induced electron-positron current, the energy-momentum tensor, and the angular-momentum tensor. We also discuss in detail the charge-renormalization procedure required to remove logarithmic divergences. It is shown that our results are consistent with the previous findings obtained via the Dirac-Heisenberg-Wigner formalism. Our analysis provides a firmer theoretical basis for investigations of nonperturbative effects in strong electric fields.
title Vacuum polarization and pair production in time-dependent electric fields: A quantum-kinetic-equation approach
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2602.00873