Analysis reveals that off-shell renormalization leads to zero perturbative corrections in quantum field theory, suggesting a need for on-shell approaches.
It is shown that the off-shell renormalization schemes for subtraction of ultraviolet divergences in Quantum Field Theory produce zero for sums of perturbative corrections to physical quantities when all perturbation orders are taken into account. That is the off-shell renor malization schemes are in this sense unphysical. In this connection it is desirable to develop on-shell renormalization schemes for different quantum theories.
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S.A. Larin (2025) studied this question.
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