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TMF, 1980, Volume 43, Number 1, Pages 39–47 (Mi tmf2908)  

$S$ 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).

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

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Received: 06.02.1979

Citation: V. A. Il'in, D. A. Slavnov, “$S$ matrix with nonlocal classical sources”, TMF, 43:1 (1980), 39–47; Theoret. and Math. Phys., 43:1 (1980), 307–312

Citation in format AMSBIB
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\by V.~A.~Il'in, D.~A.~Slavnov
\paper $S$ matrix with nonlocal classical sources
\jour TMF
\yr 1980
\vol 43
\issue 1
\pages 39--47
\mathnet{http://mi.mathnet.ru/tmf2908}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=570940}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 43
\issue 1
\pages 307--312
\crossref{https://doi.org/10.1007/BF01018461}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KR23100004}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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