1+1 Gauge Theories in the Light-Cone Representation

TL;DR

This paper provides a gauge-invariant solution to the continuum Schwinger model in light-cone gauge and compares different quantization schemes including equal-time and characteristic surface quantizations.

Contribution

It introduces a representation-independent solution to the Schwinger model in light-cone gauge and analyzes various quantization methods for this solution.

Findings

Solution is representation independent in light-cone gauge.

Comparison of equal-time and characteristic surface quantizations.

Discussion of quantization schemes for the Schwinger model.

Abstract

We present a representation independent solution to the continuum Schwinger model in light-cone ($A^+ = 0$) gauge. We then discuss the problem of finding that solution using various quantization schemes. In particular we shall consider equal-time quantization and quantization on either characteristic surface, $x^+ = 0$ or $x^- = 0$.