Insertion and Elimination: the Doubly Infinite Lie Algebra of Feynman Graphs
Abstract
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.
 Publication:

Annales Henri Poincaré
 Pub Date:
 June 2002
 DOI:
 10.1007/s0002300286229
 arXiv:
 arXiv:hepth/0201157
 Bibcode:
 2002AnHP....3..411C
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 21 pages, eps figures