Generalized two-point tree-level amplitude $jf to j^{, prime} f^{, prime}$ in a magnetized medium (extended version)


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The tree-level two-point amplitudes for the transitions $jf to j^{, prime} f^{, prime}$, where $f$ is a fermion and $j$ is a generalized current, in a constant uniform magnetic field of an arbitrary strength and in charged fermion plasma, for the $jf$ interaction vertices of the scalar, pseudoscalar, vector and axial-vector types have been investigated. The particular cases of a very strong magnetic field, and of the coherent scattering off the real fermions without change of their states (the forward scattering) have been analysed.

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