English

"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view

Mathematical Physics 2010-11-29 v2 High Energy Physics - Phenomenology High Energy Physics - Theory math.MP Number Theory

Abstract

We briefly discuss the transcendental constants generated through the epsilon-expansion of generalized hypergeometric functions and their interrelation with the "sixth root of unity."

Keywords

Cite

@article{arxiv.1007.2373,
  title  = {"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view},
  author = {Mikhail Yu. Kalmykov and Bernd A. Kniehl},
  journal= {arXiv preprint arXiv:1007.2373},
  year   = {2010}
}

Comments

6 pages, presented at "Loops and Legs in Quantum Field Theory 2010", Woerlitz, Germany, April 2010; v2: Eq.(2) is improved