Comments on the high energy limit of bosonic open string theory

Chuan Tsung Chan, Pei Ming Ho, Jen-Chi Lee, Shunsuke Teraguchi*, Yi Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In previous works, ratios among four-point scattering amplitudes at the leading order in the high-energy limit were derived for the bosonic open string theory. The derivation was based on Ward identities derived from the decoupling of zero-norm states and was purely algebraic. The only assumption of the derivation was that the momentum polarization can be approximated by the longitudinal polarization at high energies. In this paper, using the decoupling of spurious states, we reduce this assumption to a much weaker one which can be easily verified by simple power counting in most cases. For the special cases which are less obvious, we verify the new assumption for an example by saddle-point approximation. We also provide a new perspective to our previous results in terms of DDF states. In particular, we show that, by using DDF states, one can easily see that there is only one independent high energy scattering amplitude for each fixed mass level.

Original languageEnglish
Pages (from-to)266-279
Number of pages14
JournalNuclear Physics B
Volume749
Issue number1-3
DOIs
StatePublished - 14 Aug 2006

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