Quark propagator, instantons, and gluon propagator

Kisslinger, Leonard S.; Aw, M.; Harey, Andrew; Linsuain, O.

doi:10.1103/physrevc.60.065204

Cited by 15 publications

(18 citation statements)

References 24 publications

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“…Using the sum rules obtained in that work it was observed that a light scalar glueball solution in the region of 400-500 MeV [2] might be strongly coupled to a ππ resonance we call the sigma, which would give large branching ratios for the decays into channels with sigmas of heavier glueballs and hybrids [3]. Moreover, it was observed [2] that if the coupling of scalar mesons to glueballs is included, the original scalar meson QCD sum rules [4] are modified so that the lightest 80% meson solution predicts a mass about 400 MeV higher than the pure qq solution, ı.e., near the f o (1370) rather than the f o (980) as found in the earlier work [4] It has been known for decades that instantons can represent a large part of nonperturbative gluonic interactions. In the present work we include instanton effects in the sum rules for the scalar glueballs and mixed scalar mesons and glueballs.…”

Section: Introductionmentioning

confidence: 80%

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Scalar mesons, glueballs, instantons and the glueball/sigma

Kisslinger

Johnson

2001

Physics Letters B

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We include instanton effects in QCD sum rules for coupled scalar glueballs and mesons. We find a light glueball/sigma as in earlier studies without instantons, but in a lattice-type pure instanton model the light glueball/sigma is not found. In the 1-2 Gev region we now find that lightest I=0 meson, in the region of the f o (1370), has no direct glueball mixing, with the instanton loop replacing the glueball component. The lightest scalar mainly glueball in the region of the f o (1500) is sensitive to the choice of nonperturbative gluonic parameters.

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Section: Introductionmentioning

confidence: 80%

“…[4]. If this were the physical solution then we would interpret this as the f 0 (980), however, it was found in previous work [2] that the coupling to the scalar glueball increases the mass by 3-400 MeV. In the simple picture of Eq.…”

Section: Scalar Mesonsmentioning

confidence: 88%

Scalar mesons, glueballs, instantons and the glueball/sigma

Kisslinger

Johnson

2001

Physics Letters B

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“…That interplay is discarded in models that ignore the vector self energy of quarks, which is a necessary and qualitatively important feature of QCD [18,19,21,23].…”

Section: Three Coloursmentioning

confidence: 99%

Diquark condensation and the quark-quark interaction

1999

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We employ a bispinor gap equation to study superfluidity at nonzero chemical potential: µ = 0, in two-and three-colour QCD. The two-colour theory, QC2D, is an excellent exemplar: the order of truncation of the quark-quark scattering kernel: K, has no qualitative impact, which allows a straightforward elucidation of the effects of µ when the coupling is strong. In rainbow-ladder truncation, diquark bound states appear in the spectrum of the three-colour theory, a defect that is eliminated by an improvement of K. The corrected gap equation describes a superfluid phase that is semi-quantitatively similar to that obtained using the rainbow truncation. A model study suggests that the width of the superfluid gap and the transition point in QC2D provide reliable quantitative estimates of those quantities in QCD.

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“…with M π = 139 MeV being the mass of pion meson which has been determined by experimental measurements, and δ π = 0.05 ± 0.05 [25,26]. f π is the pion decay constant given by…”

Section: Prediction Of Current Quark Massmentioning

confidence: 99%

Quark mass and the masses of Goldstone bosons

Zhou

Wei-xing

2008

Front. Phys. China

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Based on the Dyson-Schwinger Equations (DSEs) of QCD in the "rainbow" approximation, the fully dressed quark propagator S f ( p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solution of the equations. The dressed quark amplitudes A f and B f which built up the fully dressed quark propagator, and the dynamical running masses M f , which is defined by A f and B f for light quarks u, d and s, are calculated, respectively. Using the predicted current masses m f , quark local vacuum condensates, and our predicted value of pion decay constant, the masses of Goldstone bosons K, π and η and their in-medium values are also evaluated. Our predictions fit to data and to many other different calculations quite well. The numerical results show that the mass of quark is dependent of its momentum p 2 . The fully dressed quark amplitudes A f and B f have correct behaviors and can be used for many purposes in our future researches on non-perturbative QCD.

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Quark propagator, instantons, and gluon propagator

Cited by 15 publications

References 24 publications

Scalar mesons, glueballs, instantons and the glueball/sigma

Scalar mesons, glueballs, instantons and the glueball/sigma

Diquark condensation and the quark-quark interaction

Quark mass and the masses of Goldstone bosons

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