×

zbMATH — the first resource for mathematics

Insertion and elimination Lie algebra: the ladder case. (English) Zbl 1081.17013
Summary: We prove that the insertion-elimination Lie algebra of Feynman graphs in the ladder case has a natural interpretation in terms of a certain algebra of infinite dimensional matrices. We study some aspects of its representation theory and we will discuss some relations with the representation of the Heisenberg algebra.

MSC:
17B65 Infinite-dimensional Lie (super)algebras
81T18 Feynman diagrams
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI arXiv