FROM EFFECTIVE LAGRANGIANS, TO CHIRAL BAGS, TO SKYRMIONS WITH THE LARGE-N-C RENORMALIZATION-GROUP

Authors
Citation
N. Dorey et Mp. Mattis, FROM EFFECTIVE LAGRANGIANS, TO CHIRAL BAGS, TO SKYRMIONS WITH THE LARGE-N-C RENORMALIZATION-GROUP, Physical review. D. Particles and fields, 52(5), 1995, pp. 2891-2914
Citations number
63
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
52
Issue
5
Year of publication
1995
Pages
2891 - 2914
Database
ISI
SICI code
0556-2821(1995)52:5<2891:FELTCB>2.0.ZU;2-H
Abstract
We explicitly relate effective meson-baryon Lagrangian models, chiral bags, and Skyrmions in the following way. First, effective Lagrangians are constructed in a manner consistent with an underlying large-N-c Q CD. An infinite set of graphs dress the bare Yukawa couplings at leadi ng order in 1/N-c, and are summed using semiclassical techniques. What emerges is a picture of the large-N, baryon reminiscent of the chiral bag: hedgehog pious for r greater than or equal to Lambda(-1) patched onto bare nucleon degrees of freedom for r less than or equal to Lamb da(-1), where the ''bag radius'' Lambda(-1) is the UV cutoff on the gr aphs. Next, a novel renormalization group (RG) is derived in which the bare Yukawa couplings, baryon masses, and hyperfine baryon mass split tings run with Lambda. Finally, this RG how is shown to act as a filte r on the renormalized Lagrangian parameters: when they are fine-tuned to obey Skyrme-model relations the continuum limit Lambda --> infinity exists and is, in fact, a Skyrme model; otherwise there is no continu um limit.