Effective 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">N</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>expansion in the Nambu–Jona-Lasinio model

Quack, E.; Klevansky, S. P.

doi:10.1103/physrevc.49.3283

Cited by 67 publications

(103 citation statements)

References 11 publications

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“…In the approaches of Refs. [9][10][11] where the gap equation at the one-meson-loop level includes the quark self-energy diagram the Goldstone theorem does not hold. It does hold in the work of Ref.…”

Section: Meson Propagatorsmentioning

confidence: 99%

“…There have been a number of attempts [9][10][11][12] to include meson loops in the Nambu-Jona-Lasinio model. These approaches are based on 1 Nc expansion in terms of Feynman graphs.…”

Section: Introductionmentioning

confidence: 99%

“…This is the case of Refs. [9][10][11] where basic symmetry relations, such as e.g. the Goldstone theorem, are violated.…”

Section: Introductionmentioning

confidence: 99%

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Meson loops in the Nambu-Jona-Lasinio model

et al. 1996

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The effects of meson loops in the vacuum sector of the Nambu-Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all nextto-leading-order 1 Nc terms into account. This leads to a symmetry-conserving approach, in which all features of spontaneously broken chiral symmetry, such as the Goldstone theorem, the Goldberger-Treiman and the Gell-Mann-Oakes-Renner relations are preserved. Contributions to qq and F π are calculated, and are shown to be substantial, at the level of ∼ 30%, consistent with the 1 Nc expansion. The leading nonanalytic terms in the chiral expansion of qq , F π and m π have the same form as the one-loop results of chiral perturbation theory.

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Section: Meson Propagatorsmentioning

confidence: 99%

“…There have been a number of attempts [9][10][11][12] to include meson loops in the Nambu-Jona-Lasinio model. These approaches are based on 1 Nc expansion in terms of Feynman graphs.…”

Section: Introductionmentioning

confidence: 99%

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Meson loops in the Nambu-Jona-Lasinio model

et al. 1996

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“…It is therefore of interest to us to study the properties of π − π scattering in the vicinity of this phase transition. Our calculation of π − π scattering is performed by keeping only the diagrams from the lowest order expansion in 1/N c , with N c the number of colors [13].…”

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confidence: 99%

π-π scattering lengths at finite temperature

et al. 1995

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The s-wave π − π scattering lengths a I (T ) at finite temperature T and isospin I = 0, 2 are calculated within the SU(2) Nambu-Jona-Lasinio model. a 2 (T ) displays a singularity at the Mott temperature T M , defined as m π (T M ) = 2m q (T M ), while a 0 (T ) is singular in addition at the lower temperature T d , where, m σ and m π being the masses of the σ and π mesons, respectively. Numerically we find T d = 198MeV and T M = 215MeV. We speculate on possible experimental consequences.. *

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“…1 the masses of the constituent quarks at chemical potential µ = 0 as a function of the temperature. In this figure, the masses are computed using the Hartree approximation, which is the leading order of an expansion in the inverse number of colors, 1/N c [15]. This leads to the gap equation…”

Section: A the Modelmentioning

confidence: 99%

Hadronization and strangeness production in a chirally symmetric nonequilibrium model

Rehberg

Aichelin

1999

Phys. Rev. C

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The expansion and hadronization of a quark meson plasma is studied using an effective chiral interaction Lagrangian. The particles we consider are light as well as strange quarks, which can form pions, kaons and η mesons via collision processes. The transport equations for the system are solved using a QMD type algorithm. We find that in chemical equilibrium at high temperatures the strange quark mass is considerably higher than the strange current quark mass and becomes even higher if we assume an initial state free of strange quarks. This leads to a considerably higher production threshold. In contrast to simpler scenarios, like thermodynamics of free quarks with their bare mass, we observe that strangeness production in a plasma is hindered and not favoured. The different particle species created during the evolution become separated in coordinate as well as in momentum space.We observe, as at CERN experiments, a larger mean momentum of kaons as compared to pions. Thus the radial collective velocity may as well originate from a plasma expansion and not necessarily from a hadronic scenario.

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Effective 1/Ncexpansion in the Nambu–Jona-Lasinio model

Cited by 67 publications

References 11 publications

Meson loops in the Nambu-Jona-Lasinio model

Meson loops in the Nambu-Jona-Lasinio model

π-π scattering lengths at finite temperature

Hadronization and strangeness production in a chirally symmetric nonequilibrium model

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