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Chiral Divergent Properties of Hadrons in the Large-N_c Limit

N. Dorey·J. Hughes·M. Mattis·D. Skidmore
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Abstract

We compute the leading non-analytic correction to the baryon mass in the combined limits m_π-> 0, N_c -> \infty with the product m_πx N_c held fixed. We reproduce the results of Cohen and Broniowski using semiclassical methods rather than heavy-baryon chiral perturbation theory. The calculation is organized to demonstrate: (1) the model independence of our results; and (2) the crucial role played by (iso)rotations of the hedgehog pion cloud surrounding the baryon. Our rotationally improved large-N_c calculation yields results that naturally interpolate between ordinary chiral perturbation theory on the one hand, and large-N_c physics on the other.

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N. Dorey, J. Hughes, M. Mattis, D. Skidmore. 1995-09-16. Chiral Divergent Properties of Hadrons in the Large-N_c Limit. https://doi.org/10.1016/0370-2693(95)01248-6

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