Adiabatic subtraction terms for a massive Proca field are built from its two transverse and one longitudinal physical modes, and in the massless limit the Proca renormalized stress tensor minus a minimally coupled scalar's equals the Maxwell stress tensor.
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Adiabatic regularization for massive and massless spin-$1$ fields
Adiabatic subtraction terms for a massive Proca field are built from its two transverse and one longitudinal physical modes, and in the massless limit the Proca renormalized stress tensor minus a minimally coupled scalar's equals the Maxwell stress tensor.