Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-06-27
Phys.Rev.Lett. 73 (1994) 1211-1214
Physics
High Energy Physics
High Energy Physics - Phenomenology
(LaTeX file with accompanying figures)
Scientific paper
10.1103/PhysRevLett.73.1211
We establish the following fundamentals about Lagrangian models of meson-baryon interactions in the large-$N_{c}$ limit: 1. Calculating the leading-order contribution to $1$-meson/$2$-baryon Green's functions in the $1/N_c$ expansion involves summing an infinite class of divergent Feynman diagrams. So long as the bare Lagrangian properly obeys all large-$N_c$ selection rules, this all-loops resummation is accomplished exactly by solving coupled classical field equations with a short-distance cutoff. 2. The only effect of the resummation is to renormalize the bare Yukawa couplings, baryon masses and hyperfine baryon mass splittings of the model. 3. In the process, the large-$N_{c}$ renormalization group flow of these bare parameters is completely determined. We conjecture that variants of the Skyrme model emerge as UV fixed points of such flows.
Dorey Nicholas
Hughes Jacob
Mattis Michael
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