Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory

Details Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory

2006-09-12

arxiv.org/abs/hep-ph/0609120v2

Phys.Rev.D74:094001,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

REVTex4, 29 pages, 2 figures, 6 tables. Equations (32) and (81) corrected. Some typos fixed. Results and conclusions remain un

Scientific paper

10.1103/PhysRevD.74.094001

The baryon axial vector current is computed at one-loop order in heavy baryon chiral perturbation theory in the large-N_c limit, where N_c is the number of colors. Loop graphs with octet and decuplet intermediate states cancel to various orders in N_c as a consequence of the large-N_c spin-flavor symmetry of QCD baryons. These cancellations are explicitly shown for the general case of N_f flavors of light quarks. In particular, a new generic cancellation is identified in the renormalization of the baryon axial vector current at one-loop order. A comparison with conventional heavy baryon chiral perturbation theory is performed at the physical values N_c=3, N_f=3.

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