### Speaker

Silvia Pla Garcia
(University of Valencia - IFIC)

### Description

The goal of this talk is to present a conjecture which states that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be partially summed in all terms containing the field-strength invariants $\mathcal{F} = \frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$, $\mathcal{G}= \frac{1}{4} \tilde F_{\mu\nu}F^{\mu\nu}(x)$, including those that also have derivatives of the electromagnetic field strength. This summation is encapsulated in a factor with the same form as the (spacetime-dependent) Heisenberg-Euler Lagrangian density. I will then discuss some implications and a possible extension in presence of gravity. This talk is based on the article: Phys.Rev. **D** 103 (2021) 8, L081702.

### Primary authors

Silvia Pla Garcia
(University of Valencia - IFIC)
Jose Navarro-Salas
(University of Valencia-IFIC (CSIC))