Abstract
For renormalizable and unrenormalizable interactions time-ordered matrix elements are defined as indicatrices of Wightman functions in momentum space, in accordance with the formal definition ofT-products in co-ordinate space. The Dyson equation then automatically yields a vanishing mass renormalization. The indicatrix formalism can be extended to equal-time commutators of fields and currents. The resulting Schwinger terms do not violate causality. The usual spectrum conditions imply that a perturbation analysis for Wightman functions should not generate any divergences. This results is confirmed by model calculations. Therefore, the formalism seems suitable to produce a divergence-free and local quantum field theory from the very beginning.
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