Strong-field regime within effective field theory

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Hauptverfasser: Franchino-Viñas, Sebastián, Quevillon, Jérémie, Saviot, Diego
Format: Preprint
Veröffentlicht: 2025
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author Franchino-Viñas, Sebastián
Quevillon, Jérémie
Saviot, Diego
author_facet Franchino-Viñas, Sebastián
Quevillon, Jérémie
Saviot, Diego
contents Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving the full second-derivative corrections to the scalar Heisenberg--Euler effective action. The corresponding result is interpreted as an effective field theory with three characteristic scales, two of which are large (mass and field strength) in comparison with the remaining one (derivatives of the field). As an application, we show that, at this order, the transseries structure of the Schwinger pair production rate is preserved, even if the involved coefficients are modified. Our analysis also helps clarify recent disagreements concerning the coefficients of this effective action.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07958
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Strong-field regime within effective field theory
Franchino-Viñas, Sebastián
Quevillon, Jérémie
Saviot, Diego
High Energy Physics - Theory
High Energy Physics - Phenomenology
Quantum Physics
Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving the full second-derivative corrections to the scalar Heisenberg--Euler effective action. The corresponding result is interpreted as an effective field theory with three characteristic scales, two of which are large (mass and field strength) in comparison with the remaining one (derivatives of the field). As an application, we show that, at this order, the transseries structure of the Schwinger pair production rate is preserved, even if the involved coefficients are modified. Our analysis also helps clarify recent disagreements concerning the coefficients of this effective action.
title Strong-field regime within effective field theory
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
Quantum Physics
url https://arxiv.org/abs/2512.07958