MESON LOOPS IN THE NAMBU-JONA-LASINIO MODEL

Citation
En. Nikolov et al., MESON LOOPS IN THE NAMBU-JONA-LASINIO MODEL, Nuclear physics. A, 608(4), 1996, pp. 411-436
Citations number
31
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
03759474
Volume
608
Issue
4
Year of publication
1996
Pages
411 - 436
Database
ISI
SICI code
0375-9474(1996)608:4<411:MLITNM>2.0.ZU;2-I
Abstract
The effects of meson loops in the vacuum sector of the Nambu-Jona-Lasi nio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order 1/N-c terms into account. This leads to a symmetry-conserving approach, in which all features of spo ntaneously broken chiral symmetry, such as the Goldstone theorem, the Goldberger-Treiman and the Gell-Mann-Oakes-Renner relations are preser ved. Contributions to [(q) over bar q] and F-pi are calculated, and ar e shown to be substantial, at the level of similar to 30%, consistent with the 1/N-c expansion. The leading non-analytic terms in the chiral expansion of [(p) over bar q], F-pi and m(pi) have the same form as t he one-loop results of chiral perturbation theory.