Tachyon condensation on brane sphalerons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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To appear in JHEP, 13 pages, 2 eps figures, minor changes and references added

Scientific paper

10.1088/1126-6708/2005/08/036

We consider a sphaleron solution in field theory that provides a toy model for unstable D-branes of string theory. We investigate the tachyon condensation on a Dp-brane. The localized modes, including a tachyon, arise in the spectrum of a sphaleron solution of a \phi^4 field theory on M^{p+1}\times S^1. We use these modes to find a multiscalar tachyon potential living on the sphaleron world-volume. A complete cancelation between brane tension and the minimum of the tachyon potential is found as the size of the circle becomes small.

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