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Discretized light-cone quantization of electrodynamics

Alex C. Kalloniatis

David G. Robertson

  • Max-Planck-Institut für Kernphysik, D-69029 Heidelberg 1, Germany

  • Department of Physics, The Ohio State University, Columbus, Ohio 43210

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Phys. Rev. D 50, 5262 – Published 15 October, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.5262

Abstract

Discretized light-cone quantization of (3+1)-dimensional electrodynamics is discussed, with careful attention paid to the interplay between gauge choice and boundary conditions. In the zero longitudinal momentum sector of the theory a general gauge fixing is performed, and the corresponding relations that determine the zero modes of the gauge field are obtained. One particularly natural gauge choice in the zero mode sector is identified, for which the constraint relations are simplest and the fields may be taken to satisfy the usual canonical commutation relations. The constraints are solved in perturbation theory, and the Poincaré generators Pμ are constructed. The effect of the zero mode contributions on the one-loop fermion self-energy is studied.

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Phys. Rev. D 50, 5262– Published 15 October, 1994
  • Received 27 May 1994

© 1994 American Physical Society

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