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Tree level Lie algebra structures of perturbative invariants

Habegger, Nathan
Published in Journal of Knot Theory and Its Ramifications. 2003, vol. 12, no. 3, p. 333-345
Abstract We study two different Lie algebra structures on the space of Feynman diagrams at tree level. We show that each such structure arises naturally from a tower of automorphism groups of nilpotent quotients of a free group.
Keywords Tree Lie algebraFeynman diagramPertubative invariant
Stable URL https://archive-ouverte.unige.ch/unige:12283
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Deposited on : 2010-11-02

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