Instantons, the QCD vacuum, and hadronic physics

Negele, John W.

doi:10.1016/s0920-5632(99)85010-5

Cited by 106 publications

(124 citation statements)

References 55 publications

Supporting

Mentioning

104

Contrasting

Order By: Relevance

“…However, the density of alternative 'local structures' found there explodes as the lattice spacing decreases, and this must be sorted out first. Studies by other groups [75,76] support the mechanism described above.…”

Section: Physics: Quarks Hopping From One Instanton To Anothersupporting

confidence: 59%

Instantons at work

Diakonov

2003

Progress in Particle and Nuclear Physics

352

506

View full text Add to dashboard Cite

The aim of this review is to demonstrate that there exists a coherent picture of strong interactions, based on instantons. Starting from the first principles of Quantum Chromodynamics -via the microscopic mechanism of spontaneous chiral symmetry breakingone arrives to a quantitative description of the properties of light hadrons, with no fitting parameters. The discussion of the importance of instanton-induced interactions in soft high-energy scattering is new.

show abstract

Section: Physics: Quarks Hopping From One Instanton To Anothersupporting

confidence: 59%

Instantons at work

Diakonov

2003

Progress in Particle and Nuclear Physics

352

506

View full text Add to dashboard Cite

show abstract

“…It was shown that instantons lead to spontaneous chiral symmetry breaking by introducing strong non-pertrubative correlations between fermionic zero-modes localized around the instanton positions. Specific features of the instanton picture have been observed in a number of lattice studies [5,6,7,8,9] and there is evidence that chiral symmetry breaking is correlated with smooth lumps of topological charge, whose profile is consistent with that of singular-gauge instantons [10,11]. In addition, instanton-induced correlations in hadrons have been studied in a number of phenomenological model calculations, where it was shown that the Instanton Liquid Model, (ILM), provides a good description of the mass and the electro-weak structure of pions, nucleons and hyperons [12,13,14,15,16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 88%

Exploring the chiral regime of QCD in the interacting instanton liquid model

et al. 2007

View full text Add to dashboard Cite

The Interacting Instanton Liquid Model is used to explore the role of instanton induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to agree with chiral perturbation theory, including the density of eigenmodes of the Dirac operator and the masses of the pion and nucleon. A quark mass m * = 80 MeV emerging naturally from the model is shown to specify the mass scale above which the fermion determinant is suppressed, the zero modes become subdominant, and the density of quasi-zero modes become independent of the quark mass.

show abstract

“…The estimates of these quantities are ρ ≃ 0.33 f m, R ≃ 1 fm, (phenomenological) [4], (2) ρ ≃ 0.35 f m, R ≃ 0.95 fm, (variational) [5], ρ ≃ 0.36 f m, R ≃ 0.89 fm, (lattice) [6,7,8,9,10] and have ∼ 10 − 15% uncertainty. Recent computer investigations [11] of a current mass dependence of QCD observables within instanton liquid model show that the best correspondence with lattice QCD data is obtained for ρ ≃ 0.32 f m, R ≃ 0.76 f m.…”

Section: Introductionmentioning

confidence: 99%

Low energy constants ofχPTfrom the instanton vacuum model

2007

View full text Add to dashboard Cite

In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors Nc and evaluate O(1/Nc, m, m/Nc, m ln m/Nc)-corrections to the dynamical quark mass M , the quark condensate qq , the pion mass Mπ and decay constant Fπ. There are several sources of these corrections: meson loops, finite size of the instanton distribution and the quark-quark "tensor" interaction terms. In contrast to the expectations, we found that numerically the 1/Nc-corrections to dynamical mass are large and mostly come from meson loops. As a consequence, we have large 1/Nc-corrections to all the other quantities. To provide the values of Fπ(m = 0), qq(m = 0) in agreement with χPT, we offer a new set of parameters ρ, R. Finally, we find the low-energy SU (2) f chiral lagrangian constantsl3,l4 in a rather good correspondence with the phenomenology.

show abstract

Instantons, the QCD vacuum, and hadronic physics

Cited by 106 publications

References 55 publications

Instantons at work

Instantons at work

Exploring the chiral regime of QCD in the interacting instanton liquid model

Low energy constants ofχPTfrom the instanton vacuum model

Contact Info

Product

Resources

About