Modifying the Virasoro-Shapiro Amplitude to Correspond to the Glueball Trajectory

Brian Maddock


High energy proton-proton scattering is dominated by the exchange of glueballs along a leading Regge trajectory. This contribution can be calculated using the particle scattering amplitude. In 26 dimensional bosonic string theory, the corresponding closed string amplitude has similar structural features to the particle amplitude, but corresponds to a non-physical trajectory. In this project we take the closed string amplitude and modify its trajectory to correspond to the glueball trajectory, while maintaining the other important features that it contains. We find a family of closed string amplitudes related by a scaling factor which meets our requirements.