Quark model of light mesons with dynamically broken chiral symmetry

Yaouanc, A. Le; Oliver, L.; Ono, Shunsuke; Pène, O.; Raynal, J.

doi:10.1103/physrevd.31.137

Cited by 163 publications

(198 citation statements)

References 39 publications

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“…In the early 1980's Finger and Mandula [8], Adler and Davis [9], and Le Yaouanc et al [10] all considered the generation of constituent quark masses and spontaneous chiral symmetry breaking with simple (often of the form given in Eq. 118) models of QCD.…”

Section: Discussionmentioning

confidence: 99%

Coulomb gauge QCD, confinement, and the constituent representation

2001

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Quark confinement and the genesis of the constituent quark model are examined in nonperturbative QCD in Coulomb gauge. We employ a self-consistent method to construct a quasiparticle basis and to determine the quasiparticle interaction. The results agree remarkably well with lattice computations. They also illustrate the mechanism by which confinement and constituent quarks emerge, provide support for the Gribov-Zwanziger confinement scenario, clarify several perplexing issues in the constituent quark model, and permit the construction of an improved model of low energy QCD.

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Section: Discussionmentioning

confidence: 99%

Coulomb gauge QCD, confinement, and the constituent representation

2001

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“…In this section, we give the necessary details of the quark model [2,3,4] to be used in this paper and describe the Hamiltonian diagonalisation in the single-quark sector (BCS level). Naively one should expect this to be the end of the story.…”

Section: Diagonalisation Of the Quark Hamiltonianmentioning

confidence: 99%

“…For nearly half a century Nambu-Jona-Lasinio (NJL) [1] class of models [2,3,4] have been quite useful tools for the on going study and understanding of low-energy phenomena in QCD. Quark models with non-local quark current-current microscopic interactions, parameterised by kernels of particular forms, constitute prominent steps towards building an effective low-energy theory for the strong interactions.…”

Section: Introductionmentioning

confidence: 99%

“…Besides regularising the ultraviolet divergences of the theory, these nonlocal quark kernels bring in the necessary interaction scale needed to make contact with the hadronic phenomenology. Models with quark instantaneous interaction modeled after the harmonic oscillator kernels [2,3,4] or kernels obtained in the Coulomb-gauge QCD [5], as well as a variety of other approaches based on the linear confinement [6], constitute as many examples of closely related approaches exploiting the idea of chirally nonsymmetric solutions of a nonlinear gap equation. In this paper, we continue our studies of quark models [4] with instantaneous inter-quark interaction.…”

Section: Introductionmentioning

confidence: 99%

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Mesonic states and vacuum replicas in potential quark models for QCD

Nefediev

Ribeiro

2004

Phys. Rev. D

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In this paper, we study generic non-local NJL models for four-dimensional QCD in the limit of a large number of colours. We diagonalise, through a Bogoliubov-type transformation, the Hamiltonian of the model completely in terms of the compound operators creating/annihilating mesons -bound states of dressed quarks and antiquarks -and demonstrate a one-to-one correspondence between the Bogoliubov diagonalisation condition and the Bethe-Salpeter equation for bound states. We conclude that, in the leading order in N C , the nontrivial contents of the theory is entirely encoded in the chiral angle -the solution to the mass-gap equation for dressed quarks. As a consequence, we extend the statement of existence of excited solutions to the mass-gap equation, called vacuum replicas, beyond the BCS level and prescribe a new index to the mesonic operators -the label of the vacuum state in which the corresponding meson is created.

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“…Ref. [3]), heavy-quark effective theory [4], the linear σ model (LσM) [5], NambuJona-Lasinio models [6], (unitarized) chiral perturbation theory [7]), meson-exchange models (see e.g. Ref.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Unitarized Quark/Meson Model in Momentum Space

Rupp

Beveren

2003

AIP Conference Proceedings

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An outline is given how to formulate a relativistic unitarized constituent quark model of mesons in momentum space, employing harmonic quark confinement. As a first step, the momentum-space harmonic-oscillator potential is solved in a relativistically covariant, three-dimensional quasipotential framework for scalar particles, using the spline technique. Then, an illustrative toy model with the same dynamical equations but now one qq and one meson-meson channel, coupled to one another through quark exchange describing the 3 P 0 mechanism, is solved in closed form on a spline basis. Conclusions are presented on how to generalize the latter to a realistic multichannel quark/meson model.

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Quark model of light mesons with dynamically broken chiral symmetry

Cited by 163 publications

References 39 publications

Coulomb gauge QCD, confinement, and the constituent representation

Coulomb gauge QCD, confinement, and the constituent representation

Mesonic states and vacuum replicas in potential quark models for QCD

Relativistic Unitarized Quark/Meson Model in Momentum Space

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