Euler-Heisenberg actions in higher dimensions
arXiv:2604.13636
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 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 dimensions is also given. In the case, we present a composite conformal primary field of dimension which determines the contribution of the electromagnetic field to the Weyl anomaly in curved space.
26 pages; V2: references and comments added