Generating loop graphs via Hopf algebra in quantum field theory
Copyright policy )Generating loop graphs via Hopf algebra in quantum field theory
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.
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, Mathematics - Combinatorics, FOS: Physical sciences, Mathematical Physics (math-ph), Combinatorics (math.CO), Feynman diagrams, Mathematical Physics
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, Mathematics - Combinatorics, FOS: Physical sciences, Mathematical Physics (math-ph), Combinatorics (math.CO), Feynman diagrams, Mathematical Physics
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