Equivalence transformations for systems of equations of scalar and spinor fields
S. A. Vladimirov, A. v. Konarev
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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Theoretical and Mathematical Physics, 1981, 49:2, 974–979
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
\by S.~A.~Vladimirov, A.~v.~Konarev
\paper Equivalence transformations for systems of equations of scalar and spinor fields
\jour Theoret. and Math. Phys.
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