FERMION MASS SINGULARITIES IN QED AND QCD AND THE MEANING OF THE KINOSHITA-LEE-NAUENBERG THEOREM

Author:

FIELD J.H.1

Affiliation:

1. Département de Physique Nucléaire et Corpusculaire, Université de Genève, 24, quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland

Abstract

An analysis is presented of radiative corrections due to fermion vacuum polarization for the process eμ→eμ and the full O(α2) final state QED radiative correction to [Formula: see text]. It is demonstrated that in both cases, the corrections contain next-to-leading logarithmic terms of the form α2 ln [Formula: see text]where Q is the large external scale and m is the fermion mass. These radiative corrections are infinite in the massless limit for any nonvanishing value of α. The role of Landau singularities and the relation of the above results to the Kinoshita-Lee-Nauenberg (KLN) theorem are discussed. Similar considerations also apply to the fermion sector of QCD where m is the quark mass. Thus contrary to many statements to be found in the literature no finite massless version of either QED or QCD can exist.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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