Abstract
We study the phenomenon of mass loss by a scalar charge—a point particle which acts as a source for a (non-interacting) scalar field—in (1 + 1)-dimensional and (2 + 1)-dimensional flat spacetimes. We find that such particles are unstable against self interaction: they lose their mass through the emission of monopole radiation. This is in sharp contrast with scalar charges in (3 + 1)-dimensional flat spacetime, where no such phenomenon occurs.
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