Power-law Behavior of High Energy String Scatterings in Compact Spaces

Abstract

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. We obtain infinite linear relations among high energy scattering amplitudes. For some kinematic regimes, we discover that some linear relations break down and, simultaneously, the amplitudes enhance to power-law behavior due to the space-time T-duality symmetry in the compact direction. This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also reminiscent of hard (power-law) string scatterings in warped spacetime proposed by Polchinski and Strassler.

6 pages, no figure. Talk presented by Jen-Chi Lee at Europhysics Conference (EPS2007), Manchester, England, July 19-25, 2007. To be published by Journal of Physics: Conference Series)

References in corpus (5)

• Linear Relations and their Breakdown in High Energy Massive String Scatterings in Compact Spaces
• Notes on High Energy Limit of Bosonic Closed String Scattering Amplitudes
• Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
• Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
• Linear relations among 4-point functions in the high energy limit of string theory