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Published August 1, 1955 | public
Journal Article Open

Causality conditions and dispersion relations. I. Boson fields

Abstract

The dispersion relations of Kramers and Kronig as generalized for charged and neutral Bose particles with finite rest mass are derived in a new way using the formalism of quantum field theory. The alternative forms of dispersion relations obtained by making various assumptions on the high-frequency limit of total cross sections are used to obtain information about the high-frequency behavior of the total cross section for the scattering of γ rays by electrons.

Additional Information

©1955 The American Physical Society. Received 7 April 1955. The derivation presented here is one whose existence was conjectured by Dr. M. Gell-Mann and the author several years ago and various aspects of this early work with Dr. Gell-Mann appear throughout the paper. The author is also indebted to Professor Y. Nambu and to Dr. H. Miyazawa and Dr. R. Oehme for many very helpful suggestions. Supported in part by a grant from the U.S. Atomic Energy Commission.

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August 21, 2023
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