Massive 3-loop Feynman Diagrams reducible to SC ⋆ primitives of algebras at the sixth root of unity
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چکیده
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 only ζ(Ω 3 ω 0) =
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Massive 3-loop Feynman Diagrams Reducible to SC
Massive 3-loop Feynman diagrams reducible to SC primitives of algebras of the sixth root of unity 1 Abstract In each of the 10 cases with propagators of unit or zero mass, the nite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7-letter alphabet of the 1-forms := dz=z and ! p := dz= ,p , z, where is the sixth root of unity. Three diagrams yield only 3 !...
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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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تاریخ انتشار 1997