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Physical Review D

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Field Theory for Stable and Unstable Particles

C. L. Hammer and T. A. Weber

Institute for Atomic Research and Department of Physics, Iowa State University, Ames, Iowa 50010

Phys. Rev. D 5, 3087 – Published 15 June, 1972Erratum Phys. Rev. D 6, 3711 (1972)

DOI: https://doi.org/10.1103/PhysRevD.5.3087

Abstract

A completely covariant field theory is developed which includes both stable and unstable particle fields. Exact single-particle propagators for both the unstable and stable cases are derived for arbitrary spin in terms of matrix elements of the basic interaction. The free-particle approximation to these propagators does not contain the unphysical terms which are usually present in the propagators derived in the interaction picture. The relationship to the Lehmann spectral representation is established and general equations for the various renormalization constants are given. Based upon general considerations it is shown that in the limit of high momentum transfer an extra factor $t^{- 2}$ occurs in the cross section for 2-particle-to-2-particle scattering, more in line with experimental observations.

Erratum

Field Theory for Stable and Unstable Particles

C. L. Hammer and T. A. Weber

Phys. Rev. D 6, 3711 (1972)

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