$S$ matrix with nonlocal classical sources

V. A. Il'in, D. A. Slavnov


Abstract: For quantum systems interacting with nonlocal classical sources, the causality principle is formulated which generalises the Bogoliubov integral causality relationship valid for the case of local sources. It is shown that the ultraviolet divergences in the $S$-matrix constructed by means of this principle in the perturbation theory framework, can be removed in each order of the perturbation theory with the aid of “generalised Tauli–Villars regularisation” (which is equivalent to the $R$-operation in the local case).

Received: 06.02.1979

 English version: Theoretical and Mathematical Physics, 1980, 43:1, 307–312

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