Gravitational corrections to the Euler-Heisenberg Lagrangian

2008/12/28 by Fiorenzo Bastianelli, José Manuel Dávila, Jose Manuel Davila +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/03/086

published as JHEP 0903:086,2009 · 33 pages, 2 figures

arxiv created 2008/12/28 · openalex publication_date 2009/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic field nonperturbatively. The effective action is obtained in a form which generalizes the standard proper-time representation of the Euler-Heisenberg Lagrangian. We compare with previous work and discuss possible applications.

Citations

• Use of Recursion Relations to Compute One-Loop Helicity Amplitudes
• Covariant Perturbation Theory (IV). Third Order in the Curvature
• Photon–graviton mixing in an electromagnetic field
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• The refractive index of curved spacetime: The fate of causality in QED
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• Dispersive approach to photon-photon scattering
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Cited by

• A gauge/gravity relation in the one-loop effective action