• Corpus ID: 17514613

Selberg Integrals, Multiple Zeta Values and Feynman Diagrams

  title={Selberg Integrals, Multiple Zeta Values and Feynman Diagrams},
  author={David H. Wohl},
We prove that there is an isomorphism between the Hopf Algebra of Feynman diagrams and the Hopf algebra corresponding to the Homogenous Multiple Zeta Value ring H in C > . In other words, Feynman diagrams evaluate to Multiple Zeta Values in all cases. This proves a recent conjecture of Connes-Kreimer, and others including Broadhurst and Kontsevich. The key step of our theorem is to present the Selberg integral as discussed in Terasoma [22] as a Functional from the Rooted Trees Operad to the… 


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