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Nambu Jona-Lasinio Like Models and the Low Energy Effective Action of QCD
High Energy Physics - Phenomenology · Submitted 19 Jun 1992
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model.
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The abstract, sentence by sentence
We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy approximation to QCD. The low energy effective Lagrangian we derive includes the usual pseudoscalar Goldstone modes, as well as the lower scalar, vector and axial-vector degrees of freedom. By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model. Another property of the ensuing effective Lagrangian is that it incorporates most of the short-distance relations which follow from QCD. (We derive these relations in the presence of all possible gluonic interactions to leading order in the $1/N_c$-expansion.) Finally the numerical predictions are compared to the experimental values of the low energy parameters
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. | contribution 0.99 | 0.97 | 0.28 | asserted 1.00 |
| s1 | Two alternative scenarios are considered on how the ENJL model could originate as a low energy approximation to QCD. | contribution 0.65 | 0.73 | 0.04 | hedged possibility 0.71 |
| s2 | The low energy effective Lagrangian we derive includes the usual pseudoscalar Goldstone modes, as well as the lower scalar, vector and axial-vector degrees of freedom. | result 0.95 | 0.93 | 0.15 | asserted 1.00 |
| s3 | By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model. | result 0.91 | 0.88 | 0.20 | asserted 0.99 |
| s4 | Another property of the ensuing effective Lagrangian is that it incorporates most of the short-distance relations which follow from QCD. | result 0.95 | 0.82 | 0.15 | asserted 0.98 |
| s5 | (We derive these relations in the presence of all possible gluonic interactions to leading order in the $1/N_c$-expansion.) Finally the numerical predictions are compared to the experimental values of the low energy parameters | result 0.70 | 0.90 | 0.18 | asserted 0.96 |
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The paper
Original abstract
We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy approximation to QCD. The low energy effective Lagrangian we derive includes the usual pseudoscalar Goldstone modes, as well as the lower scalar, vector and axial-vector degrees of freedom. By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model. Another property of the ensuing effective Lagrangian is that it incorporates most of the short-distance relations which follow from QCD. (We derive these relations in the presence of all possible gluonic interactions to leading order in the $1/N_c$-expansion.) Finally the numerical predictions are compared to the experimental values of the low energy parameters
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References
How the literature uses it
5 arXiv papers cite this in 8 sentences
Papers citing it · 2 sentences without a confident label
Contests it 1 paper
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[ref] como en [ref] este término no se obtiene, a pesar de que en estos trabajos se menciona explícitamente que consideran el grupo de sabor $SU(N_f)$.
Efectos de Temperatura Finita y Curvatura en QCD y Modelos de Quarks Quirales · Modelo de Nambu–Jona-Lasinio · contest 0.73
Uses its method or tool 1 paper
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We choose the proper-time regularization scheme [ref] , where loop integrals of products of propagators are evaluated by introducing Feynman parameters, Wick rotating and making the denominator replacement
Transversity quark distributions in a covariant quark-diquark model · The nucleon in the NJL model · 0.98
Uses its data or values 1 paper
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The two couplings have been estimated as $f_v = F_V/M_V ≃0.20$ (from $ρ^0 →e^+ e^-$) and $g_v = G_V/M_V ≃0.09$ (from $ρ→ππ$) [ref] .
Light quark loops in $K^\pm \to \pi^\pm \nu\bar\nu$ from vector meson dominance and update on the Kaon Unitarity Triangle · Delta S = 0 · 0.99
Compares with it 2 papers
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The mass corrections of the first vector and axial vector resonance, i.e. the $ρ$ and the $A_1$, agree with those reported in Ref. [ref] once our parameter $η$ is written as in terms of their $o_4$, both related to the gluon condensate as follows: [equation] We also notice that $η$ is almost equal to the parameter $g$ of Ref. [ref] , which expresses the gluon condensate effects in the Extended Nambu-Jona Lasinio model of low energy hadron phenomenology: one has $η=(9/8)(M_Q z_0)^4 g$, where $M_Q$ is the constituent quark mass of that model.
On the Evaluation of Gluon Condensate Effects in the Holographic Approach to QCD · AdS$_5$ Hard-Wall model · 0.99
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[ref] . $L_8$ difiere en dos potencias de $g_A$ en el término proporcional a $_2$.
Efectos de Temperatura Finita y Curvatura en QCD y Modelos de Quarks Quirales · Modelo de Nambu–Jona-Lasinio · 0.95
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