“Sixth root of unity” and Feynman diagrams: hypergeometric function approach point of view
نویسندگان
چکیده
منابع مشابه
Massive 3 - loop Feynman diagrams reducible to SC ∗ primitives of algebras of the sixth root of unity 1 )
In each of the 10 cases with propagators of unit or zero mass, the finite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7letter alphabet of the 1-forms Ω := dz/z and ωp := dz/(λ −p − z), where λ is the sixth root of unity. Three diagrams yield only ζ(Ωω0) = 1 90 π. In two cases π combines with the Euler-Zagier sum ζ(Ωω3ω0) = ∑ m>n>0(−1) /mn; in three c...
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Massive 3-loop Feynman diagrams reducible to SC * primitives of algebras of the sixth root of unity Abstract In each of the 10 cases with propagators of unit or zero mass, the finite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7-letter alphabet of the 1-forms Ω := dz/z and ω p := dz/(λ −p − z), where λ is the sixth root of unity. Three diagrams yield...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2010
ISSN: 0920-5632
DOI: 10.1016/j.nuclphysbps.2010.08.031