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Structure of largeNccancellations in baryon chiral perturbation theory

Authors :
Aneesh V. Manohar
Rubén Flores-Mendieta
Christoph P. Hofmann
Elizabeth Jenkins
Source :
Physical Review D. 62
Publication Year :
2000
Publisher :
American Physical Society (APS), 2000.

Abstract

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.

Details

ISSN :
10894918 and 05562821
Volume :
62
Database :
OpenAIRE
Journal :
Physical Review D
Accession number :
edsair.doi...........8740361c9f6c933c4d47c2f3586a03e2
Full Text :
https://doi.org/10.1103/physrevd.62.034001