## 摘要

We calculate bosonic open string one-loop massive scattering amplitudes for some low-lying string states. By using the periodicity relations of Jacobi theta functions, we explicitly prove an infinite number of one-loop type I stringy Ward identities derived from type I zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string. The subtlety in the proofs of one-loop type II stringy Ward identities is discussed by comparing them with those of string-tree cases. High-energy limit of these stringy Ward identities can be used to fix the proportionality constants between one-loop massive high-energy scattering amplitudes of different string states with the same momenta. These proportionality constants cannot be calculated directly from sample calculation as we did previously in the cases of string-tree scattering amplitudes.

原文 | English |
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頁（從 - 到） | 229-243 |

頁數 | 15 |

期刊 | Progress of Theoretical Physics |

卷 | 115 |

發行號 | 1 |

DOIs | |

出版狀態 | Published - 1 一月 2006 |