HighEnergy ZeroNorm States and Symmetries of String Theory
Abstract
Highenergy limit of zeronorm states in the old covariant first quantized spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive infinitely many linear relations among the leading highenergy, fixedangle behavior of fourpoint functions of different string states. As a result, ratios among all highenergy scattering amplitudes of four arbitrary string states can be calculated algebraically and the leading order amplitudes can be expressed in terms of that of four tachyons as conjectured by Gross in 1988. A dual calculation can also be performed and equivalent results are obtained by taking the highenergy limit of Virasoro constraints. Finally, we compute all highenergy scattering amplitudes of three tachyons and one massive state at the leading order by saddlepoint approximation to verify our results.
 Authors:
 Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan (China)
 Department of Physics, National Taiwan University, Taipei, Taiwan (China)
 Department of Electrophysics, National ChiaoTung University, Hsinchu, Taiwan (China)
 Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan (China)
 Publication Date:
 OSTI Identifier:
 20777206
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 17; Other Information: DOI: 10.1103/PhysRevLett.96.171601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; SADDLEPOINT METHOD; SCATTERING AMPLITUDES; STRING MODELS; SYMMETRY; TACHYONS
Citation Formats
Chan, C.T., Ho, P.M., Lee, J.C., Yang Yi, and Teraguchi, Shunsuke. HighEnergy ZeroNorm States and Symmetries of String Theory. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.171601.
Chan, C.T., Ho, P.M., Lee, J.C., Yang Yi, & Teraguchi, Shunsuke. HighEnergy ZeroNorm States and Symmetries of String Theory. United States. doi:10.1103/PhysRevLett.96.171601.
Chan, C.T., Ho, P.M., Lee, J.C., Yang Yi, and Teraguchi, Shunsuke. Fri .
"HighEnergy ZeroNorm States and Symmetries of String Theory". United States.
doi:10.1103/PhysRevLett.96.171601.
@article{osti_20777206,
title = {HighEnergy ZeroNorm States and Symmetries of String Theory},
author = {Chan, C.T. and Ho, P.M. and Lee, J.C. and Yang Yi and Teraguchi, Shunsuke},
abstractNote = {Highenergy limit of zeronorm states in the old covariant first quantized spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive infinitely many linear relations among the leading highenergy, fixedangle behavior of fourpoint functions of different string states. As a result, ratios among all highenergy scattering amplitudes of four arbitrary string states can be calculated algebraically and the leading order amplitudes can be expressed in terms of that of four tachyons as conjectured by Gross in 1988. A dual calculation can also be performed and equivalent results are obtained by taking the highenergy limit of Virasoro constraints. Finally, we compute all highenergy scattering amplitudes of three tachyons and one massive state at the leading order by saddlepoint approximation to verify our results.},
doi = {10.1103/PhysRevLett.96.171601},
journal = {Physical Review Letters},
number = 17,
volume = 96,
place = {United States},
year = {Fri May 05 00:00:00 EDT 2006},
month = {Fri May 05 00:00:00 EDT 2006}
}

We calculate and identify the counterparts of zeronorm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string in two other quantization schemes of string theory, namely, the lightcone Del GiudiceDi VecchiaFubine zeronorm states and the offshell BecchiRouetStoraTyutin (BRST) zeronorm states (with ghost) in the Witten string field theory (WSFT). In particular, special attention is paid to the interparticle zeronorm states in all quantization schemes. For the case of the offshell BRST zeronorm states, we impose the noghost conditions and recover exactly two types of onshell zeronorm states in the OCFQ string spectrum for the first fewmore »

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