Abstract
Two-point one-loop fermionic amplitudes modifiled by a constant homogeneous magnetic fileld 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.
Highlights
The general case of the two-point one-loop fermionic amplitudes modified by a constant homogeneous magnetic field was studied in Ref. [1]
After the generalized currents are removed from a twopoint one-loop amplitude, it is reduced to a correlator of two fermionic currents (1) which can be written as follows [1, 2]: ΠAB = d4X e−i(qX) Sp {S F(−X) ΓA S F(X) ΓB}, (2)
We present the propagator of a charged fermion in the constant homogeneous magnetic field in the Fock-Schwinger representation, show some selected results for the two-point correlation functions, find their crossed-field limits, and conclude with a discussion of an application of the amplitudes considered
Summary
The general case of the two-point one-loop fermionic amplitudes modified by a constant homogeneous magnetic field was studied in Ref. [1]. The general case of the two-point one-loop fermionic amplitudes modified by a constant homogeneous magnetic field was studied in Ref. After the generalized currents are removed from a twopoint one-loop amplitude, it is reduced to a correlator of two fermionic currents (1) which can be written as follows [1, 2]: ΠAB = d4X e−i(qX) Sp {S F(−X) ΓA S F(X) ΓB} ,. We present the propagator of a charged fermion in the constant homogeneous magnetic field in the Fock-Schwinger representation, show some selected results for the two-point correlation functions, find their crossed-field limits, and conclude with a discussion of an application of the amplitudes considered
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