Confinement and chiral symmetry breaking via domainlike structures in the QCD vacuum

Kalloniatis, Alexander C.; Nedelko, Sergei N.

doi:10.1103/physrevd.64.114025

Cited by 30 publications

(100 citation statements)

References 53 publications

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“…Domains are taken to be hyperspherical with a mean radius R and centered at random points z j . For a detailed motivation of these steps we refer the reader to [1].…”

Section: Review Of the Modelmentioning

confidence: 99%

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Chirality of quark modes

Kalloniatis

Nedelko²

2002

Phys. Rev. D

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A model for the QCD vacuum based on a domainlike structured background gluon field with definite duality attributed to the domains has been shown elsewhere to give confinement of static quarks, a reasonable value for the topological susceptibility and indications that chiral symmetry is spontaneously broken. In this paper we study in detail the eigenvalue problem for the Dirac operator in such a gluon mean field. A study of the local chirality parameter shows that the lowest nonzero eigenmodes possess a definite mean chirality correlated with the duality of a given domain. A probability distribution of the local chirality qualitatively reproduces histograms seen in lattice simulations.

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“…Domains are taken to be hyperspherical with a mean radius R and centered at random points z j . For a detailed motivation of these steps we refer the reader to [1].…”

Section: Review Of the Modelmentioning

confidence: 99%

“…In a previous paper [1] we formulated a model which characterises the QCD vacuum by a "lumpy" distribution of field strength and topological charge density. For lack of a better name we shall refer to the model as "the domain model".…”

Section: Introductionmentioning

confidence: 99%

Chirality of quark modes

Kalloniatis

Nedelko²

2002

Phys. Rev. D

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“…The problem is that for the purpose of extracting asymptotic dependence of the width on radial or orbital number one should consider only decay modes of a given excited state to states lower on the same Regge trajectory. looking as well fitting linear in l behavior of the width (though ÿ / e M expected in the domain model [14,15] would also fit but be implausible with the limited range of data). However the problem is that decay modes which contribute to the widths of these resonances all include K, , , mesons which obviously do not belong to the trajectory of K .…”

Section: Discussionmentioning

confidence: 99%

“…We have here an example of a theory defined by a local classical Lagrangian but with nonlocal behavior of the quantized fields appearing as a consequence of a nonperturbative gauge field configuration. The (anti-)self-dual homogeneous gluon field itself can be seen as a highly idealized analytically tractable realization of more complicated and realistic nonperturbative gauge configurations responsible for confinement (for instance, the domain model [14,15] is a specific attempt at realizing a more detailed picture of the QCD vacuum in this spirit).…”

Section: Introductionmentioning

confidence: 99%

Spectral density in the resonance region and analytic confinement

Kalloniatis

Nedelko²,

Smekal

2004

Phys. Rev. D

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We study the role of finite widths of resonances in a nonlocal version of the Wick-Cutkosky model. The spectrum of bound states is known analytically in this model and forms linear Regge tragectories. We compute the widths of resonances, calculate the spectral density in an extension of the Breit-Wigner ansatz and discuss a mechanism for the damping of unphysical exponential growth of observables at high energy due to finite widths of resonances.

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“…Another interesting quark confinement mechanism is discussed in the model in which the quarks are 'living' off mass shell, similarly to the KKB model, given in Ref. [18][19][20].…”

Section: A Amentioning

confidence: 99%

Quantum liquids resulting from quark systems with four-quark interaction

Молодцов

Zinovjev

2015

Eur. Phys. J. C

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Quark ensembles influenced by strong stochastic vacuum gluon fields are investigated within the four-fermion interaction approximation. The comparative analysis of several quantum liquid models is performed and this analysis leads to the conclusion that the presence of a gas-liquid phase transition is their characteristic feature. The problem of the instability of small quark number droplets is discussed and it is argued that it is rooted in the chiral soliton formation. The existence of a mixed phase of the vacuum and baryon matter is proposed as a possible explanation of the latter stability.

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Confinement and chiral symmetry breaking via domainlike structures in the QCD vacuum

Cited by 30 publications

References 53 publications

Chirality of quark modes

Chirality of quark modes

Spectral density in the resonance region and analytic confinement

Quantum liquids resulting from quark systems with four-quark interaction

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