Euler-Heisenberg actions in higher dimensions

Terry Hatzis; Sergei M. Kuzenko

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arXiv · 2604.13636

Euler-Heisenberg actions in higher dimensions

Terry Hatzis·Sergei M. Kuzenko

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Abstract

We extend Schwinger's proper-time formalism to provide a method for computing the one-loop effective action for both spinor and scalar quantum electrodynamics in $d=2n>4$ dimensions. We give the closed form expression for the higher-dimensional Euler-Heisenberg Lagrangian, and extract its weak-field approximation in 6, 8 and 10 dimensions. A subsequent analysis of pair production in $d$ dimensions is also given. In the $d=6$ case, we present a composite conformal primary field of dimension $+6$ which determines the contribution of the electromagnetic field to the Weyl anomaly in curved space.

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Terry Hatzis, Sergei M. Kuzenko. 2026-04-15. Euler-Heisenberg actions in higher dimensions. https://arxiv.org/abs/2604.13636

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