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Instability of scalar charges in (1 + 1) and (2 + 1) dimensions

Lior M Burko

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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.


PACS

04.25.-g Approximation methods; equations of motion

MSC

83C10 Equations of motion

Subjects

Gravitation and cosmology

Dates

Issue 14 (21 July 2002)

Received 27 March 2002

Published 27 June 2002



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