Patterns of high energy massive string scatterings in the Regge regime

@article{Ko2008PatternsOH,
  title={Patterns of high energy massive string scatterings in the Regge regime},
  author={Sheng-Lan Ko and Jen-Chi Lee and Yi Yang},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2009},
  pages={028-028}
}
We calculate high energy massive string scattering amplitudes of open bosonic string in the Regge regime (RR). We found that the number of high energy amplitudes for each fixed mass level in the RR is much more numerous than that of Gross regime (GR) calculated previously. Moreover, we discover that the leading order amplitudes in the RR can be expressed in terms of the Kummer function of the second kind. In particular, based on a summation algorithm for Stirling number identities developed… 

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References

SHOWING 1-10 OF 43 REFERENCES

High-energy zero-norm states and symmetries of string theory.

High-energy limit of zero-norm states in the old covariant first quantized spectrum of the 26D open bosonic string is used to derive infinitely many linear relations among the leading high-energy, fixed-angle behavior of four-point functions of different string states.

Linear relations of high energy absorption/emission amplitudes of D-brane