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Titolo:
Meson-loop effects in the NJL model at zero and nonzero temperature
Autore:
Oertel, M; Buballa, M; Wambach, J;
Indirizzi:
TU Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany TU Darmstadt Darmstadt Germany D-64289 nphys, D-64289 Darmstadt, Germany
Titolo Testata:
PHYSICS OF ATOMIC NUCLEI
fascicolo: 4, volume: 64, anno: 2001,
pagine: 698 - 726
SICI:
1063-7788(200104)64:4<698:MEITNM>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Soggetto:
JONA-LASINIO MODEL; ELECTROMAGNETIC FORM-FACTOR; MEAN-FIELD APPROXIMATION; CHIRAL PHASE-TRANSITION; PI-PI SCATTERING; FINITE-TEMPERATURE; QUARK CONDENSATE; SU(3) NAMBU; RHO-MESON; QCD;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
57
Recensione:
Indirizzi per estratti:
Indirizzo: Oertel, M TU Darmstadt, Inst Kernphys, Schlossgartenstr 9, D-64289 Darmstadt, Germany TU Darmstadt Schlossgartenstr 9 Darmstadt Germany D-64289 rmany
Citazione:
M. Oertel et al., "Meson-loop effects in the NJL model at zero and nonzero temperature", PHYS ATOM N, 64(4), 2001, pp. 698-726

Abstract

We compare two different possibilities of including meson-loop correctionsin the Nambu-Jona-Lasinio model: a strict 1/N-c expansion in the next-to-leading order and a nonperturbative scheme corresponding to a one-meson-loopapproximation to the effective action. Both schemes are consistent with chiral symmetry, in particular, with the Goldstone theorem and the Gell-Mann-Oakes-Renner relation. The numerical part at zero temperature focuses on the pion and the rho -meson sector. For the latter, meson-loop corrections are crucial in order to include the dominant rho --> pi pi -decay channel, while the standard Hartree + RPA approximation only contains unphysical q(q) over bar -decay channels. We find that m(pi), f(pi) (<(<psi>)over bar>psi),and quantities related to the p-meson self-energy can be described reasonably with one parameter set in the 1/N-c-expansion scheme, whereas we did not succeed in obtaining such a fit in the nonperturbative scheme. We also investigate the temperature dependence of the quark condensate. Here, we findconsistency with the chiral perturbation theory to the lowest order. Similarities and differences of both schemes are discussed. (C) 2001 MAIK "Nauka/Interperiodica".

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Documento generato il 28/03/20 alle ore 23:00:25