On the Discretized Light-Cone Quantization of Electrodynamics

Details On the Discretized Light-Cone Quantization of Electrodynamics On the Discretized Light-Cone Quantization of Electrodynamics

1994-05-27

arxiv.org/abs/hep-th/9405176v1

Phys.Rev. D50 (1994) 5262-5273

Physics

High Energy Physics

High Energy Physics - Theory

26 pages (plain TeX, all macros included). MPIH-V10-1994, OSU-NT-94-03

Scientific paper

10.1103/PhysRevD.50.5262

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 Poincar\'e generators $P^\mu$ are constructed. The effect of the zero mode contributions on the one-loop fermion self-energy is studied.

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