Tree level Lie algebra structures of perturbative invariants

Habegger, Nathan; Pitsch, Wolfgang

doi:10.1142/S0218216503002494

Article scientifique

Anglais

Tree level Lie algebra structures of perturbative invariants

Contributeurs/tricesHabegger, Nathan; Pitsch, Wolfgang

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

Date de publication2003

Résumé

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.

Mots-clés

Tree Lie algebra
Feynman diagram
Pertubative invariant

Structure d'affiliation

Faculté des sciences / Section de mathématiques

Citation (format ISO)

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)

Identifiants

PID : unige:12283
DOI : 10.1142/S0218216503002494

ISSN du journal0218-2165

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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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