Physical Review E
Green’s functions, Electromagnetic theory -- Mathematics, Boundary value problems
The dyadic Green functions for the Proca fields in free space are derived to include singular terms. Both the electric and magnetic types will be obtained with the results reduced back to those for the Maxwell fields in the limit of zero photon mass. Moreover, the singular terms are identical in both massless and massive electrodynamics. As an illustration, the results are applied to obtain the exact dynamical fields for an oscillating dipole which reduce back to the well-known expressions for static fields derived previously in the literature for massive electrodynamics.
Dragulin, P., & Leung, P. (2008). Green dyadic for the Proca fields. Physical Review. E, Statistical, Nonlinear, And Soft Matter Physics, 78(2 Pt 2), 026605.