Crossing-Symmetric Decomposition of the n-Point Veneziano Formula into Tree-Graph Integrals. I

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概要

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• Given a cyclic ordering of external particles and an n-point tree Feynman graph T, the tree-graph integral F_T is defined in such a way that F_T has only the poles relevant to T, that there is a birational transformation by which F_T is transformed into an integral identical with the n-point Veneziano formula apart from its integration domain, and that the crossing-symmetry property and Chan's bootstrap condition are manifest. It is proved that the n-point Veneziano formula is written as a sum of F_T over all tree graphs T belonging to the given cyclic ordering of external particles.

• 一般社団法人日本物理学会の論文
• 1971-02-25

著者

• Nakanishi Noboru

  Applied Mathematics Department Brookhaven National Laboratory :

• Nakanishi Noboru

  Applied Mathematics Department, Brookhaven National Laboratory : Research Institute for Mathematical Sciences, Kyoto University

関連論文

• Crossing-Symmetric Decomposition of the n-Point Veneziano Formula into Tree-Graph Integrals. II : Koba-Nielsen Representation
• Crossing-Symmetric Decomposition of the Five-Point and Six-Point Veneziano Formulas into Tree-Graph Integrals
• Crossing-Symmetric Decomposition of the n-Point Veneziano Formula into Tree-Graph Integrals. I

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