Large Nc and Chiral Dynamics

Details Large Nc and Chiral Dynamics Large Nc and Chiral Dynamics

2003-09-17

arxiv.org/abs/hep-ph/0309206v1

Phys.Rev. D69 (2004) 034005

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 6 fig., 5 pages

Scientific paper

10.1103/PhysRevD.69.034005

We study the dependence on the number of colors of the leading pi pi scattering amplitude in chiral dynamics. We demonstrate the existence of a critical number of colors for and above which the low energy pi pi scattering amplitude computed from the simple sum of the current algebra and vector meson terms is crossing symmetric and unitary at leading order in a truncated and regularized 1/Nc expansion. The critical number of colors turns out to be Nc=6 and is insensitive to the explicit breaking of chiral symmetry. Below this critical value, an additional state is needed to enforce the unitarity bound; it is a broad one, most likely of "four quark" nature.

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