Breit-Wigner formalism for non-Abelian theories

Details Breit-Wigner formalism for non-Abelian theories Breit-Wigner formalism for non-Abelian theories

2001-02-13

arxiv.org/abs/hep-ph/0102149v1

J.Phys.G29:153-160,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, plain Latex, 4 Figures in a separate ps. file; based on talk presented at ``50 Years of Electroweak Physics: A sympo

Scientific paper

10.1088/0954-3899/29/1/316

The consistent description of resonant transition amplitudes within the framework of perturbative field theories necessitates the definition and resummation of off-shell Green's functions, which must respect several crucial physical requirements. In particular, the generalization of the usual Breit-Wigner formalism in a non-Abelian context constitutes a highly non-trivial problem, related to the fact that the conventionally defined Green's functions are unphysical. We briefly review the main field-theoretical difficulties arising when attempting to use such Green's functions outside the confines of a fixed order perturbative calculation, and explain how this task has been successfully accomplished in the framework of the pinch technique.

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