Renormalization of the baryon axial vector current in large-N{sub c} chiral perturbation theory

Journal Article · Wed Nov 01 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.094001· OSTI ID:20873126

Flores-Mendieta, Ruben ^[1]; Hofmann, Christoph P ^[2]

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1. Instituto de Fisica, Universidad Autonoma de San Luis Potosi, Alvaro Obregon 64, Zona Centro, San Luis Potosi, S.L.P. 78000 (Mexico)
2. Facultad de Ciencias, Universidad de Colima, Bernal Diaz del Castillo 340, Colima, Colima 28045 (Mexico)

The baryon axial vector current is computed at one-loop order in heavy baryon chiral perturbation theory in the large-N{sub c} limit, where N{sub c} is the number of colors. Loop graphs with octet and decuplet intermediate states cancel to various orders in N{sub c} as a consequence of the large-N{sub c} spin-flavor symmetry of QCD baryons. These cancellations are explicitly shown for the general case of N{sub 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{sub c}=3, N{sub f}=3.

• OSTI ID: 20873126
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 9; Other Information: DOI: 10.1103/PhysRevD.74.094001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
BARYONS
CHIRALITY
COMPARATIVE EVALUATIONS
D QUARKS
FLAVOR MODEL
INTERMEDIATE STATE
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SPIN
SYMMETRY
U QUARKS