The charge radius of a Dpbrane
Michael Gutperle; Vipul Periwal
Журнал:
Journal of High Energy Physics
Дата:
1999-02-01
Аннотация:
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<sub>c</sub>∝(α′)<sup>1/2</sup>(gN)<sup>1/(9−p)</sup> such that N units of Dpbrane charge cannot be localized to values smaller than r<sub>c</sub>. At this value of r<sub>c</sub> the curvature is of order 1/α′ and the gradient of the Ramond-Ramond field strength is of order 1/(α′)<sup>3/2</sup>, and the vacuum, regarded as a D-brane-anti-D-brane configuration with a tachyon condensate, is rendered unstable, leading to a separation of the D-brane and the anti-D-brane. This value of r<sub>c</sub> lies in the region intermediate between the near-horizon regime and the asymptotic regime for D-brane classical solutions for small g. This vacuum stability bound on the curvature can be interpreted as an uncertainty relation for D-brane charge.
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