Hopf algebras and the combinatorics of connected graphs in quantum field theory

Details Hopf algebras and the combinatorics of connected graphs in quantum field theory Hopf algebras and the combinatorics of connected graphs in quantum field theory

2008-08-07

arxiv.org/abs/0808.1070v2

Contemp. Math.539:287-294, 2011

Physics

Mathematical Physics

10 pages, 2 figures, LaTeX + AMS + eepic; to appear in the proceedings of the Conference on Combinatorics and Physics, MPIM Bo

Scientific paper

In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators. Mathematically, this problem can be formulated as one in combinatorics or graph theory. It consists in finding a recursive algorithm that generates all connected graphs in their Hopf algebraic representation. This representation can be used directly and efficiently in evaluating Feynman graphs as contributions to the n-point functions.

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