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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

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}