Abstract

From the coupled Maxwell-Dirac equations for two fermion fields ψ1, ψ2 we derive a covariant two-body equation for the composite field Φ(x1, x2) in configuration space which includes radiative self-energy effects. Both Coulomb gauge and covariant gauge have been used and their equivalence is proved. For the space S1 we solve the two-body equation with mutual interactions exactly and obtain the mass spectrum in the case of massless fermions.

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