Gravitational corrections to the Euler-Heisenberg Lagrangian

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.

33 pages, 2 figures

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• Astrophysics in Strong Electromagnetic Fields and Laboratory Astrophysics
• On the simplified path integral on spheres