Renormalized S-Matrix for Scalar Electrodynamics

Abdus Salam
Phys. Rev. 86, 731 – Published 1 June 1952
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Abstract

By a consistent use of the concepts of mass and charge renormalization Dyson has demonstrated the possibility of constructing a divergence-free S-matrix for scattering problems in spinor-electrodynamics, valid to all orders in the fine-structure constant. In this paper a proof is given of the possibility of renormalizing theories of charged scalar (or pseudoscalar) particles in the presence of the electromagnetic field. It is found that in addition to the renormalization of mass and charge, an infinite constant of direct interaction δλ has to be introduced in a term δλφ*2φ2 added to the Hamiltonian, in order to cancel consistently all divergences arising from the Møller scattering of one spinless particle by another. This, combined with the fact that theories of charged scalar and pseudoscalar mesons in scalar interaction with the nucleons can be renormalized with the same additional term in the Hamiltonian, seems to be of some significance.

  • Received 16 February 1951

DOI:https://doi.org/10.1103/PhysRev.86.731

©1952 American Physical Society

Authors & Affiliations

Abdus Salam*

  • Institute for Advanced Study, Princeton, New Jersey

  • *Now at Government College, Lahore, Pakistan.

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Vol. 86, Iss. 5 — June 1952

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