Abstract
We discuss the stability of the static field and polarization charge produced by an abelian static external source in two-dimensional QCD with massless quarks. This is done in a previously proposed scheme allowing an approximate treatment of polarization effects. The discussion is based on linear fluctuation equations obtained from the equations of motion written in an appropriate moving gauge frame. We establish that the static configuration is stable in the sense that there are no initially small fluctuations which grow in time. However, in contrast with QED 2, there are fluctuations which are localized near the external source and whose amplitudes do not decay in time. These modes are studied in detail in the case of a single external point source.
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