Open AccessOne-Loop Massive Scattering Amplitudes and Ward Identities in String Theory
Author(s) -
Chuan-Tsung Chan,
J.-C. Lee
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.115.229
Subject(s) - physics , string field theory , non critical string theory , scattering amplitude , covariant transformation , bosonic string theory , string cosmology , mathematical physics , open string , type i string theory , string theory , string (physics) , amplitude , loop (graph theory) , quantum mechanics , theoretical physics , quantum electrodynamics , relationship between string theory and quantum field theory , quantum gravity , quantum , combinatorics , mathematics
We calculate bosonic open string one-loop massive scattering amplitudes forsome low-lying string states. By using the periodicity relations of Jacobitheta functions, we explicitly prove an infinite number of one-loop type Istringy Ward identities derived from type I zero-norm states in the oldcovariant first quantized (OCFQ) spectrum of open bosonic string. The subtletyin the proofs of one-loop type II stringy Ward identities is discussed bycomparing with those of string-tree cases. High-energy limit of these stringyWard identities can be used to fix the proportionality constants betweenone-loop massive high-energy scattering amplitudes of different string stateswith the same momenta. These proportionality constants can not be calculateddirectly from sample calculations as we did previously in the cases ofstring-tree scattering amplitudes.Comment: 18 pages. v3: refs updated. Final version to appear in Prog. Theor. Phy
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