On Motives associated to graph polynomials

-functions of renormalizable quantum field theories has given evidence towards a motivic interpretation of these renormalization group functions. In this paper we start to hunt the motive, restricting our attention to a subclass of graphs in four dimensional scalar field theory which give scheme independent contributions to the above functions.

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Knots and numbers in Phi**4 theory to 7 loops and beyond

David J. Broadhurst
(
- Open U., England
)
,
D. Kreimer
(
- Tasmania U.
)

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•
e-Print:
- hep-ph/9504352
•
DOI:
- 10.1142/S012918319500037X

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

David J. Broadhurst
(
- Tasmania U.
)
,
D. Kreimer
(
- Tasmania U.
)

- Phys.Lett.B 393 (1997) 403-412
•
e-Print:
- hep-th/9609128
•
DOI:
- 10.1016/S0370-2693(96)01623-1

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