Summary
The dual tree-graphN-point functions are investigated from the point of view of symmetry properties. Using a cyclic symmetric-contour integral forB N, we deduce a set of simple relations betweenN—1B N-functions and give rules for writing down more complicated relations. Secondly, we establish a new relationship between the cyclic symmetric integral and the conventional “multiperipheral” integral forB N. Finally, both approaches are used to investigate the signature properties ofB N.
Riassunto
Si studiano dal punto di vista delle proprietà di simmetria le funzioni duali aN punti con grafici ad albero. Usando perB N un integrale ciclico con contorno simmetrico, si deduce un insieme di relazioni semplici fraN—1, funzioniB N e si danno le regole per scrivere relazioni più complicate. Inoltre si stabilisce una nuova relazione fra l'integrale ciclico simmetrico e l'integrale “multiperiferico” convenzionale perB N. Infine si usano entrambi i metodi per studiare le proprietà di segno diB N.
Резюме
Дуальные древовидныеN-точечные функции исследуются с точки зрения свойств симметрии. Используя крутовой симметричный контурный интеграл дляB N, мы выводим систему простых соотношений междуN—1,B N функциями и приводим правила для написания более сложных соотношений. Затем мы уста-навливаем новое соотношение между круговым симметричным интегралом и обще-принятым “мультипериферическим” интегралом дляB N. В заключение, оба подхода используются для изучения ситнатурных свойствB N.
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References
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Plahte, E. Symmetry properties of dual tree-graphN-point amplitudes. Nuovo Cimento A (1965-1970) 66, 713–733 (1970). https://doi.org/10.1007/BF02824716
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DOI: https://doi.org/10.1007/BF02824716