D-Particle Dynamics and The Space-Time Uncertainty Relation

Details D-Particle Dynamics and The Space-Time Uncertainty Relation D-Particle Dynamics and The Space-Time Uncertainty Relation

1996-11-11

arxiv.org/abs/hep-th/9611072v4

Phys.Rev.Lett.78:1219-1222,1997

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, revtex, no figures, a minor misprint is corrected

Scientific paper

10.1103/PhysRevLett.78.1219

We argue that the space-time uncertainty relation of the form $\Delta X \Delta T \gtrsim \alpha'$ for the observability of the distances with respect to time, $\Delta T$, and space, $\Delta X$, is universally valid in string theory including D-branes. This relation has been previously proposed by one (T.Y.) of the present authors as a simple qualitative representation of the perturbative short distance structure of fundamental string theory. We show that the relation, combined with the usual quantum mechanical uncertainty principle, explains the key qualitative features of D-particle dynamics.

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