Impossibility of obtaining a CP-violating Euler–Heisenberg effective theory from a viable modification of QED
Department of Physics, Shahid Beheshti University, 1983969411, Tehran, Iran
2 Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-900, Lavras, MG, Brazil
3 School of Mathematics, Statistics and Physics, Newcastle University, NE1 7RU, Newcastle upon Tyne, UK
Accepted: 19 April 2022
Published online: 28 April 2022
In this paper, we examine the CP-violating term of the Euler–Heisenberg action. We focus in the aspects related with the generation of such a term from a QED-like model in terms of the effective action approach. In particular, we show that the generation of the CP-violating term is closely related with both of vector and axial fermionic bilinears. Although, these anomalous models are not a viable extension of QED, we argue that the CP-violating term in the photon sector is obtained only from this class of models, and not from any fundamental field theory.
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