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Particles and Fields

Eur. Phys. J. C 22, 105-114 (2001)
DOI: 10.1007/s1005201O0770

The charge and mass perturbative renormalization in explicitly covariant LFD

J.-J. Dugne1, V.A. Karmanov2 and J.-F. Mathiot1

1  Laboratoire de Physique Corpusculaire, Université Blaise Pascal, CNRS/IN2P3, 24 avenue des Landais, 63177 Aubière Cedex, France
2  Lebedev Physical Institute, Leninsky Prospekt 53, 119991 Moscow, Russia

(Received: 22 January 2001 / Revised version: 30 July 2001 / Published online: 5 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

In several preceding studies, the explicitly covariant formulation of light-front dynamics was developed and applied to many observables. In the present study we show how in this approach the renormalization procedure for the first radiative corrections can be carried out. It requires separating out the contributions which depend on the orientation of the light-front plane. We calculate the electron self-energy as well as the renormalized QED $\gamma e^-\to
e^-$ and $\gamma \to e^+e^- $ vertices. Our renormalization procedure is confirmed by recovering, in a straightforward way, the well-known analytical results obtained in the Feynman approach.

© Società Italiana di Fisica, Springer-Verlag 2001