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Article
Report number CERN-TH-1344
Title Adiabatic limit in perturbation theory
Author(s) Epstein, H (CERN) ; Glaser, Vladimir Jurko (CERN)
Publication 1976
In: NATO Advanced Study Institute: Renormalization Theory, Erice, Italy, 17 - 31 Aug 1975, pp.193-254
In: Congress on Renormalization Theory, Marseille, France, 14 Jun 1971, pp.32-112
DOI 10.1007/978-94-010-1490-8_7
Subject category Particle Physics - Theory
Abstract It is shown that, with correct mass and wave function renormalization, the time-ordered products for Wick polynomials T(L(y/sub 1/)...L(y/sub n/)) constructed by a method outlined in a previous paper (Epstein and Glaser, 1970) are such that the vectors of the form integral T(L(y/sub 1/)...L(y/sub n/)) g(y/sub 1/)...g(y/sub n/) psi dy/sub 1/...dy/sub n/ have limits when g tends to a constant, provided psi is chosen in a suitable dense domain. It follows that the S-matrix has unitary adiabatic limit as an operator-valued formal power series in Fock space. (4 refs).

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