Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-07
Phys.Lett.B374:37-42,1996
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, latex. References and some extra comments added
Scientific paper
10.1016/0370-2693(96)00238-9
I calculate the semiclassical phase shift ($\delta$), as function of impact parameter ($b$) and velocity ($v$), when one D-brane moves past another. From its low-velocity expansion I show that, for torroidal compactifications, the moduli space of two identical D-branes stays flat to all orders in $\alpha^\prime$. For K3 compactifications, the calculation of the D-brane moduli-space metric can be mapped to a dual gauge-coupling renormalization problem. In the ultrarelativistic regime, the absorptive part of the phase shift grows as if the D-branes were black disks of area $\sim \alpha^\prime ln{1\over 1-v^2}$. The scattering of large fundamental strings shares all the above qualitative features. A side remark concerns the intriguing duality between limiting electric fields and the speed of light.
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