One-Loop Massive Scattering Amplitudes and Ward Identities in String Theory(Particles and Fields)
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概要
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We calculate bosonic open string one-loop massive scattering amplitudes for some lowlying 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 zeronorm 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.
- 理論物理学刊行会の論文
- 2006-01-25
著者
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Lee Jen
Department Of Electrophysics National Chiao-tung University
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CHAN Chuan
Physics Division, National Center for Theoretical Sciences
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Chan Chuan
Physics Division National Center For Theoretical Sciences
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Lee Jen-chi
Department Of Electrophysics National Chiao-tang University
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Chan Chuan-Tsung
Physics Division, National Center for Theoretical Sciences
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