Higher Rank Cylinder Amplitude

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概要

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• The dual topological unitarization is investigated for the case of any number of planar SU(N) singlet reggeons. In particular, the detailed structure of the cylinder amplitude is fully investigated. The planar bootstrap constraints are derived for the reggeon propagator and the triple reggeon vertex. The cylinder unitarization of planar poles is performed by means of the planar sewing method. The cylinder equation is described in terms of the factorizable kernel of finite rank. We are then led to the following typical properties of the cylinder. First, the cylinder partial wave amplitude is meromorphic in the J-plane. Secondly, extinction of the input SU(N) singlets is guaranteed. Thirdly, the cylinder residue is factorizable at all t. Fourthly, the cylindrical mixing is inevitable for the higher rank kernel. Moreover, the mixing phenomena are examined for the special case of the single daughter contribution. The repulsive [attractive] mixing pattern is expected to be observed between the even [odd] charge conjugation components of the cylindrically renormalized trajectories in the weak cyliridrical mixing limit.

• 理論物理学刊行会の論文
• 1980-11-25

著者

• Yang Sung-kil

  Department Of Physics Rikkyo University

関連論文

• On the Higher Rank Cylinder Kernel
• Higher Rank Cylinder Amplitude
• Deffractive Eigenchannel Approach versus Diffractive Physical Channel Approach
• Topological Glueball Contributions to the Cylinder
• Trajectory function of the Bare Pomeron in the Higher Rank Cylinder Amplitude

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