One-loop calculations in Lorentz-breaking theories and proper-time method

We discuss applications of the proper-time method in various minimal Lorentz-violating modifications of QED and present new results obtained with its use. Explicitly we calculate the complete one-loop Heisenberg-Euler effective action involving all orders in F-mu nu, for two of the most studied minimal Lorentz-violating extensions of QED, the one characterized by the axial vector b(mu) and the one involving the second-rank constant tensor c(mu nu). Copyright (C) 2022 EPLA

Automated summary

In this study, applications of the proper-time method in various minimal Lorentz-violating modifications of QED are discussed, and new results obtained using this method are presented. Specifically, the complete one-loop Heisenberg-Euler effective action involving all orders in F-mu nu is calculated for two of the most studied minimal Lorentz-violating extensions of QED.