Comments on the high energy limit of bosonic open string theory

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.

14 pages, no figure

References in corpus (3)

• Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
• Ward Identities and High-energy Scattering Amplitudes in String Theory
• Anatomy of Zero-norm States in String Theory

Cited by in corpus (16)

• High-energy zero-norm states and symmetries of string theory
• Linear Relations and their Breakdown in High Energy Massive String Scatterings in Compact Spaces
• Patterns of High energy Massive String Scatterings in the Regge regime
• 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
• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings
• Linear relations among 4-point functions in the high energy limit of string theory
• To see Symmetry in a Forest of Trees
• High-energy Massive String Scatterings from Orientifold Planes
• High-energy String Scatterings of Compactified Open String
• High-Energy Symmetry of Bosonic Open String Theory in the Light-like Linear Dilaton Background
• Power-law Behavior of High Energy String Scatterings in Compact Spaces
• String Scattering Amplitudes in High Energy Limits