A Multiple Commutator Formula for the Sum of Feynman Diagrams
High Energy Physics - Phenomenology
2009-10-28 v1
Abstract
In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get cancelled in the sum. This is known to happen in large- QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancellations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large- QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.
Keywords
Cite
@article{arxiv.hep-ph/9604337,
title = {A Multiple Commutator Formula for the Sum of Feynman Diagrams},
author = {C. S. Lam and K. F. Liu},
journal= {arXiv preprint arXiv:hep-ph/9604337},
year = {2009}
}
Comments
uu-encoded latex file with two postscript figures