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TMF, 1976, Volume 26, Number 2, Pages 175–187 (Mi tmf3185)  

Finite-particle approximations of a local field and the problem of local saturation

B. L. Voronov, I. F. Skirko


Abstract: A study is made of the problem of approximating a nontrivial field by finite polynomials in the free fields. This problem, like the well-known problem of the local saturation of the matrix elements of the commutator of fields, reduces to the solution of a finite system of equations for the $r$-functions (nondiagonal matrix elements of the Heisenberg current). This corresponds to a definite truncation (with respect to the particle number) of the well-known infinite system of axiomatic equations for the $r$-functions of local quantum field theory.

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English version:
Theoretical and Mathematical Physics, 1976, 26:2, 115–124

Received: 14.04.1975

Citation: B. L. Voronov, I. F. Skirko, “Finite-particle approximations of a local field and the problem of local saturation”, TMF, 26:2 (1976), 175–187; Theoret. and Math. Phys., 26:2 (1976), 115–124

Citation in format AMSBIB
\Bibitem{VorSki76}
\by B.~L.~Voronov, I.~F.~Skirko
\paper Finite-particle approximations of a~local field and the problem of local saturation
\jour TMF
\yr 1976
\vol 26
\issue 2
\pages 175--187
\mathnet{http://mi.mathnet.ru/tmf3185}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 2
\pages 115--124
\crossref{https://doi.org/10.1007/BF01079416}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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