A Moyal-like product on functions is lifted to scalar fields and functionals, and its graph expansion is shown to reproduce the known adjacency-matrix description of Feynman graphs.
Dito, An example of cancellation of infinities in the star-quantiz ation of fields , Letters in Math
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From Kontsevich Graphs to Feynman graphs, a Viewpoint from the Star Products of Scalar Fields
A Moyal-like product on functions is lifted to scalar fields and functionals, and its graph expansion is shown to reproduce the known adjacency-matrix description of Feynman graphs.