Quark-Loop Dominance in the SU(3)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Model

Chan, Lai-Him

doi:10.1103/physrevlett.39.1124

Cited by 15 publications

(4 citation statements)

References 26 publications

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“…If one further freezes the σ a degrees of freedom, one arrives at an effective theory of quarks and pions in the non-linear liarization. We will call this effective theory as "chiral quark model" (χQM) which has been studied by many authors independently of the development of the NJL model [103].…”

Section: Relation To the Other Approachesmentioning

confidence: 99%

QCD phenomenology based on a chiral effective Lagrangian

Hatsuda

Kunihiro²

1994

Physics Reports

1,723

1,942

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We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). After a general overview of the non-perturbative aspects of QCD, we introduce the NJL model as a low-energy effective theory of QCD. The collective nature of hadrons and the constituent quark model are treated in a unified way. Various aspects of QCD related to the dynamical and explicit breaking of chiral symmetry and the axial anomaly can be well described. The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of hadrons, flavor mixing in mesons, the violation of the OZI rule in baryons, and the validity of the chiral perturbation in QCD. A subtle interplay between the axial anomaly and the current-quark masses is shown to play important roles, and a realistic evaluation of the strangeness and heavy quark contents of hadrons is given. Also the problem of elusive scalar mesons is studied in detail. For a pedagogical reason, we first present an account of basic ingredients and detailed technical aspects of the NJL model using simple versions of it.In Part II, the NJL model is applied to the system at finite temperature (T ) and density (ρ) relevant to the early universe, interior of the neutron stars and the ultrarelativistic heavy ion collisions. After a brief introduction of the field theory at finite temperature, phenomena associated with the restoration of chiral symmetry in the medium are examined. The subjects treated here include the quark condensates in the medium, meson properties at finite T (ρ) and their experimental implications. A special attention is paid to fluctuation phenomena near the critical temperature, i.e., possible existence of soft modes in the scalar channel and a jump of the quark-number susceptibility in the vector channel.to be published in Physics Reports

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Section: Relation To the Other Approachesmentioning

confidence: 99%

QCD phenomenology based on a chiral effective Lagrangian

Hatsuda

Kunihiro²

1994

Physics Reports

1,723

1,942

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“…corresponding to the V ππ quark-loop form factors, automatically normalized to [8,19] F π (q 2 = 0) = 1. Further invoking the LDGE (2.7) in turn requires [8,20]…”

Section: Brief Summary Of the Lσm Field Theorymentioning

confidence: 99%

“…Further invoking the LDGE (2.7) in turn requires [8,20] 8) close to the value 6.04 needed to obtain the observed ρ width 150.2 MeV.…”

Section: Brief Summary Of the Lσm Field Theorymentioning

confidence: 99%

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

Beveren

Kleefeld²,

Rupp³

et al. 2002

Mod. Phys. Lett. A

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The quark-level linear σ model (LσM) is revisited, in particular concerning the identification of the f0(400–1200) (or σ(600)) scalar meson as the chiral partner of the pion. We demonstrate the predictive power of the LσM through the ππ and πNs-wave scattering lengths, as well as several electromagnetic, weak, and strong decays of pseudoscalar and vector mesons. The ease with which the data for these observables are reproduced in the LσM lends credit to the necessity to include the σ as a fundamental [Formula: see text] degree of freedom, to be contrasted with approaches like chiral perturbation theory or the confining NJL model of Shakin and Wang.

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“…However, it is not clear whether such a NN loop with high virtuality is appropriate to take into account the Dirac-sea polarization in a realistic manner. Noting the phenomenological success of chiral quark dynamics in the vacuum, 24) in which the quark−anti-quark loop plays an essential role, it may be more appropriate to consider the in-medium Dirac-sea polarization through the qq loops. On the basis of this observation, we study the effect of the in-medium Dirac-sea polarization from the point of view of the chiral quark dynamics in this paper.…”

Section: §1 Introductionmentioning

confidence: 99%

The -Meson Mass Shift in Medium Using a Chiral Effective Lagrangian

Kuwabara

2006

Progress of Theoretical Physics

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The restoration of chiral symmetry has recently become one of the central issues related to the quark-gluon plasma (QGP). In a high temperature, high density environment, such as that created in the Relativistic Heavy Ion Collider (RHIC), the QCD vacuum condensate is dissolved, and therefore it is believed that a phase transition to QGP is realized. The order parameter characterizing the transition is the chiral quark condensate qq . The reduction of qq is regarded as the partial restoration of chiral symmetry in QCD.It is suggested that the mass shift of the light vector mesons (ρ, ω, φ · · ·) is one way to experimentally detect the restoration of chiral symmetry in medium. The mass shift of light vector mesons is believed to be directly experimentally observable through the production of vector mesons in media (nuclei) and detecting lepton pairs, which themselves decay. Among light vector mesons, the φ-meson is a useful probe for finding the signal of its mass shift, because of its small width.The purpose of this paper is to show that a shift of vector meson masses, in particular the φ-meson mass m * φ , can occur even in ordinary nuclear media at zero temperature prior to the critical point of the QGP phase transition, using an effective theory. Adopting effective chiral quark dynamics as effective theories, we investigate the possibility for the vector meson mass to become light.The model is treated for the one-loop level. The results reveal a density dependence of the masses to decrease in medium, as a result of the decrease of the chiral quark condensate. We also analyze the physical reason of this meson mass shift. We can use f K /f π to eliminate one more parameter, m 8 or m 0 . If we use the relation m 8 /m 0 = 1/(2f K /f π − 1), 24) together with the experimental value f K /f π = 113/92.4 = 1.22, we obtain m 8 /m 0 = 0.69, which is 15% larger than the value assumed in this paper.at

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Quark-Loop Dominance in the SU(3)σModel

Cited by 15 publications

References 26 publications

QCD phenomenology based on a chiral effective Lagrangian

QCD phenomenology based on a chiral effective Lagrangian

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

The -Meson Mass Shift in Medium Using a Chiral Effective Lagrangian

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Quark-Loop Dominance in the SU(3)σModel

Cited by 15 publications

References 26 publications

QCD phenomenology based on a chiral effective Lagrangian

QCD phenomenology based on a chiral effective Lagrangian

REMARKS ON THE f0(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

The -Meson Mass Shift in Medium Using a Chiral Effective Lagrangian

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REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION