The effective action in Einstein-Maxwell theory
Fiorenzo Bastianelli, Jose Manuel Davila, Christian Schubert

TL;DR
This paper reviews recent advances in calculating the one-loop effective action in Einstein-Maxwell theory using the worldline formalism, focusing on generalizations of the Euler-Heisenberg Lagrangian to curved spacetime.
Contribution
It introduces new methods for extending the Euler-Heisenberg Lagrangian to Einstein-Maxwell theory via the worldline formalism.
Findings
Generalized Euler-Heisenberg Lagrangian in curved spacetime
Application of worldline formalism to Einstein-Maxwell theory
Insights into light propagation in curved space
Abstract
Considerable work has been done on the one-loop effective action in combined electromagnetic and gravitational fields, particularly as a tool for determining the properties of light propagation in curved space. After a short review of previous work, I present some recent results obtained using the worldline formalism. In particular, I will discuss various ways of generalizing the QED Euler-Heisenberg Lagrangian to the Einstein-Maxwell case.
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