Higher order derivative operators as quantum corrections

2019/06/06 by L. H. C. Borges, F. A. Barone, C. A. M. de Melo +1 · 1 citation
Physics and Astronomy · #hep-th #hep-ph #quant-ph

paper · pdf · doi:10.1016/j.nuclphysb.2019.114634

published as Nuclear Physics B Volume 944, July 2019, 114634 · 5 pages

arxiv created 2019/06/06 · arxiv updated 2019/06/07

Abstract

In this paper we propose a non-minimal, and ghost free, coupling between the gauge field and the fermionic one from which we obtain, perturbatively, terms with higher order derivatives as quantum corrections to the photon effective action in the low energy regime. We calculate the one-loop effective action of the photon field and show that, in addition to the Euler-Heisenberg terms, the well known Lee-Wick term, ∼ F_μν∂_α∂^αF^μν, arises in low energy regime as a quantum correction from the model. We also obtain the electron self energy in leading order.

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