A Multiple commutator formula for the sum of Feynman diagrams
Apr, 199616 pages
Published in:
- Nucl.Phys.B 483 (1997) 514-530
e-Print:
- hep-ph/9604337 [hep-ph]
Report number:
- MCGILL-96-12
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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.Note:
- uu-encoded latex file with two postscript figures Report-no: McGill/96-12
- 11.15.Pg
- 11.15.Bt
- 11.15.-q
- 11.25.Db
- Eikonal formula
- Non-abelian
- QCD
- Feynman graph
- quantum chromodynamics
- expansion 1/N: color
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