The charge radius of a Dpbrane

Abstract

Sen has shown that tachyon condensation in Dbrane-anti-Dbrane configurations can lead to remarkable connections between string theories. A consequence of his results is that there is a minimal value of the radial coordinate $r_c\propto \sqrt{{\alpha }^{\prime }}(gN{)}^{1/(9-p)}$ such that N units of D$p$brane charge cannot be localized to values smaller than $r_c.$ At this value of $r_c$ the curvature and the gradient of the Ramond-Ramond field strength are of order $1/{\alpha }^{\prime },$ and the vacuum, regarded as a Dbrane-anti-Dbrane configuration with a tachyon condensate, is rendered unstable, leading to a separation of the Dbrane and the anti-Dbrane. This value of $r_c$ lies in the region intermediate between the near-horizon regime and the asymptotic regime for Dbrane classical solutions for small $g$. This vacuum stability bound on the curvature can be interpreted as an uncertainty relation for Dbrane charge.

5 Pages, Revtex, no figures, revised version to appear in JHEP

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