English

The corolla polynomial: a graph polynomial on half-edges

High Energy Physics - Theory 2018-07-09 v1

Abstract

The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial.

Keywords

Cite

@article{arxiv.1807.02385,
  title  = {The corolla polynomial: a graph polynomial on half-edges},
  author = {Dirk Kreimer},
  journal= {arXiv preprint arXiv:1807.02385},
  year   = {2018}
}

Comments

7 pages, 4 figures, Loops and Legs in Quantum Field Theory (LL2018) St. Goar, Germany

R2 v1 2026-06-23T02:52:54.839Z