Overlapping Divergences and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math></span>-Matrix

Abdus Salam

doi:10.1103/PhysRev.82.217

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Overlapping Divergences and the $S$ -Matrix

Abdus Salam

St. John's College, Cambridge, England

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Phys. Rev. 82, 217 – Published 15 April, 1951

DOI: https://doi.org/10.1103/PhysRev.82.217

Abstract

By extending considerations given by Dyson, general rules are obtained for isolating divergent parts from integrals corresponding to overlapping graphs, and a proof is obtained for the appearance of an extra factor $Z_{1}^{- 1}$ from " $b$ divergences." In the last section the possibility of renormalization for scalar meson-nucleon interactions is demonstrated.

References (13)

F. J. Dyson, Phys. Rev. 75, 1736 (1949)
R. Jost and J. M. Luttinger, Helv. Phys. Acta 23, 201 (1949)
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P. T. Matthews, Phil. Mag. 41, 185 (1950)
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[c1] F. J. Dyson, Phys. Rev. 75, 1736 (1949)

[c2] R. Jost and J. M. Luttinger, Helv. Phys. Acta 23, 201 (1949)

[c3] Omitted endnote

[c4] P. T. Matthews, Phil. Mag. 41, 185 (1950)

[c5] Omitted endnote

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Overlapping Divergences and the $S$ -Matrix

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Overlapping Divergences and the S-Matrix

Abstract

References (13)

Overlapping Divergences and the $S$ -Matrix