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• W2008382271 abstract "We study the dependence on the number of colors of the leading $ensuremath{pi}ensuremath{pi}$ scattering amplitude in chiral dynamics. We demonstrate the existence of a critical number of colors for and above which the low energy $ensuremath{pi}ensuremath{pi}$ 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 ${1/N}_{c}$ expansion. The critical number of colors turns out to be ${N}_{c}=6$ 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 a ``four quark'' nature." @default.
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• W2008382271 date "2004-02-23" @default.
• W2008382271 modified "2023-10-16" @default.
• W2008382271 title "Large<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>and chiral dynamics" @default.
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• W2008382271 doi "https://doi.org/10.1103/physrevd.69.034005" @default.
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