Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-19
Nucl.Phys. B708 (2005) 99-114
Physics
High Energy Physics
High Energy Physics - Theory
1 typo, to appear in Nucl. Phys.B
Scientific paper
10.1016/j.nuclphysb.2004.11.032
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.
Chan Chuan-Tsung
Ho Pei-Ming
Lee Jen-Chi
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