Two-Point Correlators of Fermionic Currents in External Magnetic Field

Abstract

Abstract. We study the two-point correlation functions under an influence of the constant homogeneous magnetic field. In addition to the correlators of scalar, pseudoscalar, vector and axial-vector fermionic currents, we calculate the non-diagonal one including the tensor and pseudoscalar currents. The tensor current is a fermionic part of the Pauli Lagrangian relevant for the electromagnetic interaction of fermions through the anomalous magnetic moment. 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].…”

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

“…Among the existing representations of S F (X) in this field, we accept the so-called Fock-Schwinger one [4,5] in which the fermion propagator has an explicitly Lorentz-covariant form. Correlations, being under an influence of the magnetic field, among the scalar, pseudoscalar, vector and axial-vector currents in the Fock-Schwinger formalism were already studied [1,2] but correlators with the tensor current j µν (x) ≡ f (x)σ µν f (x) and other currents j A (x) were not considered in this approach, except the pseudoscalar-tensor correlator calculated by us earlier [6].…”

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].…”