Title

Large Nc and Chiral Dynamics

Author(s)/Creator(s)

Joseph Schechter, Department of Physics, Syracuse University, Syracuse, NY
Masayasu Harada, Nagoya University
Francesco Sannino, NORDITA and The Niels Bohr Institute

Document Type

Article

Date

9-17-2003

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

RevTeX4, 6 fig., 5 pages More information available at http://arxiv.org/abs/hep-ph/0309206

Recommended Citation

Schechter, Joseph; Harada, Masayasu; and Sannino, Francesco, "Large Nc and Chiral Dynamics" (2003). Physics - All Scholarship. 277.
https://surface.syr.edu/phy/277

Source

Harvested from Arxiv.org