Renormalization of the Cottingham formula

John C. Collins

doi:10.1016/0550-3213(79)90158-5

Renormalization of the Cottingham formula

John C. Collins

Physics

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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 language	English (US)
Pages (from-to)	90-100
Number of pages	11
Journal	Nuclear Physics, Section B
Volume	149
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(79)90158-5
State	Published - Mar 12 1979

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(79)90158-5

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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.",

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N2 - 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.

AB - 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.

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Renormalization of the Cottingham formula

Abstract

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