Mass renormalization in light-front Tamm-Dancoff QED

Phys. Rev. D 48, 4856 – Published 15 November 1993
Osamu Abe, K. Tanaka, and K. G. Wilson

Abstract

A discussion of mass renormalization in the light-front Tamm-Dancoff approximation in QED is presented. The covariant mass counterterm, that is, one independent of external momenta and free from the infrared cutoff parameter, is obtained for an electron by the use of the transverse dimensional regularization method. The result coincides with the perturbative result. The mass counterterm so obtained enables one to obtain a relativistic equation for bound states. The mass counterterms for a hydrogen atom are also considered. We take the nonrelativisitic limit and the S-wave energy levels are obtained.

DOI: http://dx.doi.org/10.1103/PhysRevD.48.4856

  • Received 30 March 1992
  • Published in the issue dated 15 November 1993

© 1993 The American Physical Society

Authors & Affiliations

Osamu Abe*, K. Tanaka, and K. G. Wilson

  • Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210

  • *Permanent address: Physics Laboratory, Asahikawa College, Hokkaido University of Education, 9 Hokumoncho, Asahikawa 070, Japan.

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