Time-Delay at Higher Genus in High-Energy Open String Scattering

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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v1. 15 pages, 1 eps figure, v2. typos, v3. typos/references added, v4. version in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00034-X

We explore some aspects of causal time-delay in open string scattering studied recently by Seiberg, Susskind and Toumbas. By examining high-energy scattering amplitudes at higher order in perturbation theory, we argue that causal time-delay at G-th order is 1/(G+1) times smaller than the time-delay at tree level. We propose a space-time interpretation of the result by utilizing the picture of the high-energy open string scattering put forward by Gross and Manes. We argue that the phenomenon of reduced time-delay is attributed to the universal feature of the space-time string trajectory in high-energy scattering that string shape at higher order remains the same as that at tree level but overall scale is reduced. We also discuss implications to the space-time uncertainty principle and make brief comments on causal time-delay behavior in space/time noncommutative field theory.

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