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Ward identities and high energy scattering amplitudes in string theory

2004/10/31 by Chuan-Tsung Chan, Pei-Ming Ho, Jen-Chi Lee · 4 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Covariant transformation #Decoupling (probability) #Geometry #Mathematical physics #Mathematics #Non-critical string theory #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Saddle point #Scattering amplitude #String (physics) #String field theory #String theory #Superstring theory #Supersymmetry #Tachyon #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.11.032

published as Nucl.Phys. B708 (2005) 99-114 · 1 typo, to appear in Nucl. Phys.B

arxiv created 2004/12/02 · openalex publication_date 2004/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

High-energy limit of stringy Ward identities derived from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string are used to check the consistency of saddle point calculations of high energy scattering amplitudes of Gross and Mende and Gross and Manes. Some inconsistencies of their saddle point calculations are found even for the string-tree scattering amplitudes of the excited string states. We discuss and calculate the missing terms of the calculation by those authors to recover the stringy Ward identities. In addition, based on the tree-level stringy Ward identities, we give the proof of a general formula, which was proposed previously, of all high energy four-point string-tree amplitudes of arbitrary particles in the string spectrum. In this formula all such scattering amplitudes are expressed in terms of those of tachyons as conjectured by Gross. The formula is extremely simple which manifestly demonstrates the universal high energy behavior of the interactions among all string states.

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