Baryon wave function in large-Nc QCD: Universality, nonlinear evolution equation and asymptotic limit

Details Baryon wave function in large-Nc QCD: Universality, nonlinear evolution equation and asymptotic limit Baryon wave function in large-Nc QCD: Universality, nonlinear evolution equation and asymptotic limit

2004-12-23

arxiv.org/abs/hep-th/0412291v3

Phys.Rev. D71 (2005) 076002

Physics

High Energy Physics

High Energy Physics - Theory

44 pages

Scientific paper

10.1103/PhysRevD.71.076002

The 1/Nc expansion is formulated for the baryon wave function in terms of a specially constructed generating functional. The leading order of this 1/Nc expansion is universal for all low-lying baryons [including the O(1/Nc) and O(Nc^0) excited resonances] and for baryon-meson scattering states. A nonlinear evolution equation of Hamilton-Jacobi type is derived for the generating functional describing the baryon distribution amplitude in the large-Nc limit. In the asymptotic regime this nonlinear equation is solved analytically. The anomalous dimensions of the leading-twist baryon operators diagonalizing the evolution are computed analytically up to the next-to-leading order of the 1/Nc expansion.

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