D. Broadhurst

activity

19931999

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hep-th1998

Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity

D. J. Broadhurst

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…

hep-th1996

Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

D. J. Broadhurst, D. Kreimer

It is found that the number, $M_{n}$ , of irreducible multiple zeta values (MZVs) of weight $n$ , is generated by $1 - x^{2} - x^{3} = \prod_{n} (1 - x^{n})^{M_{n}}$ . For $9 \geq n \geq 3$ , $M_{n}$ enumerates…