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TMF, 1981, Volume 49, Number 2, Pages 190–197 (Mi tmf2465)  

Equivalence transformations for systems of equations of scalar and spinor fields

S. A. Vladimirov, A. v. Konarev


Abstract: A study is made of the system of differential equations which describes scalar and spinor fields and is represented in the form of a system $(S)$ of first order. The differential operators (the left-hand side of the system $(S)$) are given by the Weyl operator $\sigma^i\partial_i$ and the Kemmer–Duffin operator $\beta^i\partial_i$. The interaction is introduced on the right-hand side of the system $(S)$ and depends on the scalar fields, their first derivatives, and the spinor fields. The largest Lie group of transformations of the system $(S)$ which leaves the lefthand side of the system $(S)$ invariaat is constructed explicitly. On the basis of the obtained results, a generalization is given of Dyson's theorem on the equivalence of field models containing scalar couplings and derivative couplings.

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English version:
Theoretical and Mathematical Physics, 1981, 49:2, 974–979

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Received: 05.08.1980

Citation: S. A. Vladimirov, A. v. Konarev, “Equivalence transformations for systems of equations of scalar and spinor fields”, TMF, 49:2 (1981), 190–197; Theoret. and Math. Phys., 49:2 (1981), 974–979

Citation in format AMSBIB
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\by S.~A.~Vladimirov, A.~v.~Konarev
\paper Equivalence transformations for systems of equations of scalar and spinor fields
\jour TMF
\yr 1981
\vol 49
\issue 2
\pages 190--197
\mathnet{http://mi.mathnet.ru/tmf2465}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=661605}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 49
\issue 2
\pages 974--979
\crossref{https://doi.org/10.1007/BF01028991}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981NV49900005}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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