Non-local divergences persist in the one-loop fermionic self-energy of open Yukawa theory despite the trace-preserving condition at tree level.
Unitarity and causality in a renormalizable field theory with unstable particles,
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Renormalisation in Open Quantum Field theory II: Yukawa theory and PV reduction
Non-local divergences persist in the one-loop fermionic self-energy of open Yukawa theory despite the trace-preserving condition at tree level.