Renormalization of the Cottingham formula

John C. Collins

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

The second-order electromagnetic contribution to the mass of a hadron needs an ultraviolet-divergent renormalization. An explicitly renormalized Cottingham formula is derived, and the renormalization is related to the counterterms obtained in perturbation theory. The main effect is to impose a cut-off Λ equal to the subtraction mass used in the renormalization. Within quantum chromodynamics it is shown that the Λ-dependence of the Cottingham formula for the neutron-proton mass difference is of the same magnitude as fourth-order electromagnetic corrections.

Original languageEnglish (US)
Pages (from-to)90-100
Number of pages11
JournalNuclear Physics, Section B
Volume149
Issue number1
DOIs
StatePublished - Mar 12 1979

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electromagnetism
subtraction
cut-off
perturbation theory
quantum chromodynamics
neutrons
protons

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Collins, John C. / Renormalization of the Cottingham formula. In: Nuclear Physics, Section B. 1979 ; Vol. 149, No. 1. pp. 90-100.
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Renormalization of the Cottingham formula. / Collins, John C.

In: Nuclear Physics, Section B, Vol. 149, No. 1, 12.03.1979, p. 90-100.

Research output: Contribution to journalArticle

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