Two-Point One-Loop Fermionic Amplitudes in Constant Homogeneous Magnetic Field

Abstract

Two-point one-loop fermionic amplitudes modified by a constant homogeneous magnetic field are studied. In addition to the amplitudes resulted after an insertion of scalar, pseudoscalar, vector and axial-vector fermionic currents, we calculate similar amplitudes with the tensor and (pseudo)scalar vertices. The crossed-field limit of these amplitudes is presented. The tensor current is a fermionic part of the Pauli Lagrangian relevant for the electromagnetic interaction of fermions through the anomalous magnetic moment and its contribution to the photon polarization operator is briefly discussed.

Photon Polarization Operator in External Electromagnetic Field with Account of Virtual-Fermion AMM

“…Here, we consider correlations of the tensor fermionic current with the vector and tensor ones. Correlation functions of the tensor current with the scalar, pseudoscalar and axial-vector currents can be found in [11][12][13][14][15].…”

Loop Amplitudes Induced by Tensor Fermionic Current in Constant Homogeneous Electromagnetic Fields

“…We extend this analysis and consider correlations of a tensor current with the other ones. Some preliminary results were published in [3][4][5].…”