Meson Lagrangians in a superconductor quark model

Волков, М. К.

doi:10.1016/0003-4916(84)90055-1

Cited by 286 publications

(191 citation statements)

References 12 publications

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“…It differs from the methods which have already been used in the literature in the same context, for example in papers [6,7]. The result is also different.…”

Section: Introductionmentioning

confidence: 81%

Generalized proper-time approach for the case of broken isospin symmetry

Osipov¹,

Hiller

2001

Phys. Rev. D

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We present a derivation of the low-energy effective meson Lagrangian of the Nambu -Jona-Lasinio (NJL) model on the basis of Schwinger's proper-time regularization of the one-loop fermion determinant. We consider the case in which the SU (2) × SU (2) chiral symmetry of the NJL Lagrangian is broken by the current quark mass matrix withm u =m d . The non-degeneracy of d and u masses destroys one of the most crucial features of the proper-time expansionthe chiral-invariant structure of Seeley -DeWitt coefficients. We show however that systematic resummations inside the proper-time expansion are still possible and derive a result which is in full agreement with the chiral Ward -Takahashi identities. PACS number(s): 12.39.Fe, 11.30.Rd.

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“…It differs from the methods which have already been used in the literature in the same context, for example in papers [6,7]. The result is also different.…”

Section: Introductionmentioning

confidence: 81%

Generalized proper-time approach for the case of broken isospin symmetry

Osipov¹,

Hiller

2001

Phys. Rev. D

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“…The main idea of this method consists in the construction of special bosonic variables to be used for the description of the observable mesonic states. As a result, it extends the usual treatment of bosonized NJL models, which was formulated in [8] and developed in [9,10,12]. The standard approach is essentially linked to the derivative expansion of the effective meson Lagrangian.…”

Section: The Linear Approachmentioning

confidence: 88%

Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

et al. 1996

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The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to ππ scattering. Unlike the case in earlier published papers, we obtain the ππ scattering amplitude using the linear and nonlinear realizations of chiral symmetry and fully taking into account the momentum dependence of meson vertices. We show the full physical equivalence between these two approaches. The chiral expansion procedure in this model is discussed in detail. Chiral expansions of the quark mass, pion mass and constant f π are obtained. The low-energy ππ phase shifts are compared to the available data. We also study the scalar form factor of the pion.

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“…The main idea was to provide a field-theoretical description of nucleons, featuring a mechanism for dynamical mass generation in analogy with the gap in the microscopic theory of superconductivity [45]. With the advent of QCD, the fermionic fields in the Lagrangian have been reinterpreted as quarks [62,63,64], incorporating color degrees of freedom as additional quantum numbers. On the other hand, the NJL model contains no gluons and therefore no running coupling and no confinement.…”

Section: Nambu-jona-lasinio Modelmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

247

258

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The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

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Meson Lagrangians in a superconductor quark model

Cited by 286 publications

References 12 publications

Generalized proper-time approach for the case of broken isospin symmetry

Generalized proper-time approach for the case of broken isospin symmetry

Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

Inhomogeneous chiral condensates

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