Light-Cone Quantization of Electrodynamics

TL;DR

This paper explores light-cone quantization of (3+1)-dimensional electrodynamics, focusing on gauge fixing, boundary conditions, and perturbative solutions to understand the theory's structure.

Contribution

It provides a detailed analysis of gauge fixing and boundary conditions in light-cone quantization of electrodynamics, including perturbative solutions for constrained modes.

Findings

Perturbative solutions for constrained gauge modes obtained.

Analysis of gauge choice and boundary conditions in light-cone quantization.

Structure of electrodynamics studied at lowest nontrivial order.

Abstract

Light-cone quantization of (3+1)-dimensional electrodynamics is discussed, using discretization as an infrared regulator and paying careful attention 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 constrained modes of the gauge field are obtained. The constraints are solved perturbatively and the structure of the theory is studied to lowest nontrivial order. (Talk presented at ``Theory of Hadrons and Light-Front QCD,'' Polana Zgorzelisko, Poland, August 1994.)