Generating loop graphs via Hopf algebra in quantum field theory

Details Generating loop graphs via Hopf algebra in quantum field theory Generating loop graphs via Hopf algebra in quantum field theory

2006-07-19

arxiv.org/abs/math-ph/0607036v2

J.Math.Phys.47:122302,2006

Physics

Mathematical Physics

22 pages, LaTeX + AMS + eepic; new section with alternative recursion formula added, further minor changes and corrections

Scientific paper

10.1063/1.2390657

We use the Hopf algebra structure of the time-ordered algebra of field
operators to generate all connected weighted Feynman graphs in a recursive and
efficient manner. The algebraic representation of the graphs is such that they
can be evaluated directly as contributions to the connected n-point functions.
The recursion proceeds by loop order and vertex number.

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