Combinatorics of 1-particle irreducible n-point functions via coalgebra in quantum field theory
Mathematical Physics
2015-03-13 v2 Combinatorics
math.MP
Rings and Algebras
Abstract
We give a coalgebra structure on 1-vertex irreducible graphs which is that of a cocommutative coassociative graded connected coalgebra. We generalize the coproduct to the algebraic representation of graphs so as to express a bare 1-particle irreducible n-point function in terms of its loop order contributions. The algebraic representation is so that graphs can be evaluated as Feynman graphs.
Keywords
Cite
@article{arxiv.1001.3567,
title = {Combinatorics of 1-particle irreducible n-point functions via coalgebra in quantum field theory},
author = {Angela Mestre},
journal= {arXiv preprint arXiv:1001.3567},
year = {2015}
}