Tree level Lie algebra structures of perturbative invariants

Habegger, Nathan; Pitsch, Wolfgang

doi:10.1142/S0218216503002494

Scientific article

English

Tree level Lie algebra structures of perturbative invariants

ContributorsHabegger, Nathan; Pitsch, Wolfgang

Published inJournal of knot theory and its ramifications, vol. 12, no. 3, p. 333-345

Publication date2003

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 algebra
Feynman diagram
Pertubative invariant

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HABEGGER, Nathan, PITSCH, Wolfgang. Tree level Lie algebra structures of perturbative invariants. In: Journal of knot theory and its ramifications, 2003, vol. 12, n° 3, p. 333–345. doi: 10.1142/S0218216503002494

Article (Published version)

Identifiers

PID : unige:12283
DOI : 10.1142/S0218216503002494

Journal ISSN0218-2165

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Tree level Lie algebra structures of perturbative invariants

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.

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