Confining ensemble of dyons

Diakonov, Dmitri; Петров, В. А.

doi:10.1103/physrevd.76.056001

Cited by 387 publications

(952 citation statements)

References 51 publications

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“…In recent years it has been suggested [10,11,12,13] that the SχSB in QCD and the phenomenon of conductivity in a disordered medium have similar physical origins. Conductivity in a disordered sample is produced by electrons that although initially bound to an impurity may get delocalized by orbital overlapping with nearby impurities.…”

Section: B the Qcd Vacuum As A Disordered Mediummentioning

confidence: 99%

Chiral phase transition and Anderson localization in the instanton liquid model for QCD

García-García

Osborn

2006

Nuclear Physics A

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We study the spectrum and eigenmodes of the QCD Dirac operator in a gauge background given by an Instanton Liquid Model (ILM) at temperatures around the chiral phase transition. Generically we find the Dirac eigenvectors become more localized as the temperature is increased. At the chiral phase transition, both the low lying eigenmodes and the spectrum of the QCD Dirac operator undergo a transition to localization similar to the one observed in a disordered conductor. This suggests that Anderson localization is the fundamental mechanism driving the chiral phase transition. We also find an additional temperature dependent mobility edge (separating delocalized from localized eigenstates) in the bulk of the spectrum which moves toward lower eigenvalues as the temperature is increased. In both regions, the origin and the bulk, the transition to localization exhibits features of a 3D Anderson transition including multifractal eigenstates and spectral properties that are well described by critical statistics. Similar results are obtained in both the quenched and the unquenched case though the critical temperature in the unquenched case is lower. Finally we argue that our findings are not in principle restricted to the ILM approximation and may also be found in lattice simulations.

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Section: B the Qcd Vacuum As A Disordered Mediummentioning

confidence: 99%

Chiral phase transition and Anderson localization in the instanton liquid model for QCD

García-García

Osborn

2006

Nuclear Physics A

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“…As for the Skyrme model, the χQSM is based on a 1/N c expansion (with N c the number of colors in QCD). Its effective chiral action has been derived from the instanton model of the QCD vacuum [Dia86], which provides a natural mechanism of chiral symmetry breaking and enables one to generate dynamically the constituent quark mass. Although in reality the number of colors N c is equal to three, the extreme limit of large N c is known to yield useful insights.…”

Section: Pion Cloud Modelsmentioning

confidence: 99%

Nucleon electromagnetic form factors

Perdrisat

Punjabi

Vanderhaeghen

2007

Progress in Particle and Nuclear Physics

475

583

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There has been much activity in the measurement of the elastic electromagnetic proton and neutron form factors in the last decade, and the quality of the data has been greatly improved by performing double polarization experiments, in comparison with previous unpolarized data. Here we review the experimental data base in view of the new results for the proton, and neutron, obtained at MIT-Bates, MAMI, and JLab. The rapid evolution of phenomenological models triggered by these high-precision experiments will be discussed, including the recent progress in the determination of the valence quark generalized parton distributions of the nucleon, as well as the steady rate of improvements made in the lattice QCD calculations.

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“…Well-known examples include the Nambu and Jona-Lasinio (NJL) model [4], where the fourfermion interactions have been used to study dynamical breaking of chiral symmetry 2 ; the instanton inspired models [8], where 2N f -quark interactions (N f is the number of quark flavours) offer a possible framework to discuss the U A (1) problem [9]; the potential-type quark models which are successfully applied to the evaluation of hadronic parameters [10].…”

Section: Introductionmentioning

confidence: 99%