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A measure theoretic perspective on the space of Feynman diagrams

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Abstract

The article applies Connes–Kreimer Hopf algebra of Feynman diagrams and theory of graphons to build an operational calculus machinery on the basis of measure theory for Green’s functions of quantum field theory.

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  1. 1461863596 Marzdaran Blvd., Tehran, Iran

    Ali Shojaei-Fard

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  1. Ali Shojaei-Fard
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Correspondence to Ali Shojaei-Fard.

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Ali Shojaei-Fard is a Mathematician and Independent Scholar. He is a Former Postdoctoral Researcher at the Institute of Mathematics in University of Potsdam in Germany.

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Shojaei-Fard, A. A measure theoretic perspective on the space of Feynman diagrams. Bol. Soc. Mat. Mex. 24, 507–533 (2018). https://doi.org/10.1007/s40590-017-0166-6

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