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

Abstract

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.

arXiv commentREVTex4, 29 pages, 2 figures, 6 tables. Equations (32) and (81) corrected. Some typos fixed. Results and conclusions remain unchanged

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Cited by in corpus (17)

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• Baryon magnetic moments in large-N_c chiral perturbation theory
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Baryon magnetic moments in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• The baryon vector current in the combined chiral and 1/Nc expansions
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Axial transition form factors of octet baryons in the perturbative chiral quark model
• S-wave baryon nonleptonic decay amplitude in large-N_c chiral perturbation theory
• Study of vector and axial-vector form factors and the decay parameters for the semileptonic hyperon decays