Structure of large N{sub c} cancellations in baryon chiral perturbation theory

Journal Article · Tue Aug 01 04:00:00 EDT 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.62.034001· OSTI ID:20217282

Flores-Mendieta, Ruben ^[1]; Hofmann, Christoph P ^[1]; Jenkins, Elizabeth ^[1]; Manohar, Aneesh V ^[1]

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1. Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)

We show how to compute loop graphs in heavy baryon chiral perturbation theory including the full functional dependence on the ratio of the {delta}-nucleon mass difference to the pion mass, while at the same time automatically incorporating the 1/N{sub c} cancellations that follow from the large-N{sub c} spin-flavor symmetry of baryons in QCD. The one-loop renormalization of the baryon axial vector current is studied to demonstrate the procedure. A new cancellation is identified in the one-loop contribution to the baryon axial vector current. We show that loop corrections to the axial vector currents are exceptionally sensitive to deviations of the ratios of baryon-pion axial vector couplings from SU(6) values. (c) 2000 The American Physical Society.

• OSTI ID: 20217282
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 62; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
FLAVOR MODEL
GAUGE INVARIANCE
QUANTUM CHROMODYNAMICS
QUARK MODEL
RENORMALIZATION
SU-6 GROUPS
THEORETICAL DATA