Insertion and Elimination: the doubly infinite Lie algebra of Feynman graphs

Details Insertion and Elimination: the doubly infinite Lie algebra of Feynman graphs Insertion and Elimination: the doubly infinite Lie algebra of Feynman graphs

2002-01-20

arxiv.org/abs/hep-th/0201157v2

Annales Henri Poincare 3 (2002) 411-433

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, eps figures

Scientific paper

The Lie algebra of Feynman graphs gives rise to two natural representations,
acting as derivations on the commutative Hopf algebra of Feynman graphs, by
creating or eliminating subgraphs. Insertions and eliminations do not commute,
but rather establish a larger Lie algebra of derivations which we here
determine.

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