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Using the relativistic electrodynamics of continuous media formalism and mainrelativistic quantum field theory principles the covariant Lagrangian ofelectromagnetic field interaction with polarizable 1/2-spin particles have beenobtained. This Lagrangian let us to determine canonical and metricenergy-momentum tensors as well as low-energy Compton scattering amplitude. Theapplication of this Lagrangian for the calculation of the radiative correctionto the imaginary part of double virtual Compton scattering is demonstrated.

Moving medium electrodynamics approach for description of the electric and magnetic static polarizable properties of the nucleon at low energy