Analysis of a quenched lattice-QCD dressed-quark propagator

Bhagwat, Mandar S.; Pichowsky, M. A.; Roberts, Craig D.; Tandy, P. C.

doi:10.1103/physrevc.68.015203

Cited by 221 publications

(334 citation statements)

References 56 publications

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“…1, and agrees perfectly with pQCD for q 2 > 25 GeV 2 . The model is finite in the infrared region, and it is very similar to an effective interaction that was recently deduced [9] from quenched lattice QCD results for the gluon and quark propagators. Indications are that unquenching does not change the infrared behavior of the running coupling much [10], and thus we believe that this 2-parameter model is a realistic parametrization of the effective quark-quark interaction in the spacelike region.…”

Section: Rainbow-ladder Truncationmentioning

confidence: 79%

“…Pointwise agreement for a range of quark masses requires this interaction to be flavor-dependent [9], suggesting that dressing the quark-gluon vertex Γ i ν (q, p) is important. The consequences of a dressed vertex for the meson BSEs are currently being explored [17].…”

Section: Quark Propagatormentioning

confidence: 99%

“…Quenched lattice data [38] are compared to the results of the DSE-Lat model [9], and for λ 1 (p) the Abelian Ansatz is also shown. Adapted from [9].…”

Section: Modeling the Quark-gluon Vertexmentioning

confidence: 99%

“…We will come back to this point later, when we discuss electromagnetic processes. [8] compared to LO perturbative QCD and to that deduced from quenched lattice QCD data on the gluon and quark propagators [9].…”

Section: Rainbow-ladder Truncationmentioning

confidence: 99%

“…Dynamical quark mass functions obtained with the DSE-Lat model together with the quenched lattice data [15]. Adapted from [9].…”

Section: Lattice-inspired Rainbow Modelmentioning

confidence: 99%

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QCD modeling of hadron physics

Maris

Tandy

2006

Nuclear Physics B - Proceedings Supplements

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We review recent developments in the understanding of meson properties as solutions of the Bethe-Salpeter equation in rainbow-ladder truncation. Included are recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to cc bound states; extrapolation to bb states is explored. We also present a new and improved calculation of Fπ(Q 2 ) and an analysis of the πγγ transition form factor for both π(140) and π(1330). Lattice-QCD results for propagators and the quark-gluon vertex are analyzed, and the effects of quark-gluon vertex dressing and the three-gluon coupling upon meson masses are considered. DYSON-SCHWINGER EQUATIONS OF QCDThe Dyson-Schwinger equations [DSEs] are the equations of motion of a quantum field theory. They form an infinite hierarchy of coupled integral equations for the Green's functions (n-point functions) of the theory. Bound states (mesons, baryons) appear as poles in the Green's functions. Thus, a study of the poles in n-point functions using the set of DSEs will tell us something about hadrons. For recent reviews on the DSEs and their use in hadron physics, see Refs. [1,2,3]. Quark propagatorThe exact DSE for the quark propagator is 1where D µν (q = k − p) is the renormalized dressed gluon propagator, and Γ i ν (k, p) is the renormalized dressed quark-gluon vertex. The notation k stands for Λ d 4 k/(2π) 4 . For divergent integrals a translationally invariant regularization is necessary; the regularization scale Λ is to be removed at the end of all calculations, after renormalization, and will be suppressed henceforth.1 We use Euclidean metric {γµ, γν } = 2δµν , γ † µ = γµ andThe solution of Eq. (1) can be written asrenormalized according to S(p) −1 = i / p + m(µ) at a sufficiently large spacelike µ 2 , with m(µ) the current quark mass at the scale µ. Both the propagator, S(p), and the vertex, Γ i µ depend on the quark flavor, although we have not indicated this explicitly. The renormalization constants Z 2 and Z 4 depend on the renormalization point and on the regularization mass-scale, but not on flavor: in our analysis we employ a flavor-independent renormalization scheme. MesonsBound states correspond to poles in n-point functions: for example a meson appears as a pole in the 2-quark, 2-antiquark Green's function G (4) = 0|q 1 q 2q1q2 |0 . In the vicinity of a meson, i.e. in the neighborhood of P 2 = −M 2 with M being the meson mass, such a Green's function behaves likewhere P is the total 4-momentum of the meson, p o and p i are the momenta of the outgoing quark and incoming quark respectively, and similarly for k i and k o . Momentum conservation relates these momenta:

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Section: Rainbow-ladder Truncationmentioning

confidence: 79%

Section: Quark Propagatormentioning

confidence: 99%

“…Quenched lattice data [38] are compared to the results of the DSE-Lat model [9], and for λ 1 (p) the Abelian Ansatz is also shown. Adapted from [9].…”

Section: Modeling the Quark-gluon Vertexmentioning

confidence: 99%

Section: Rainbow-ladder Truncationmentioning

confidence: 99%

“…Dynamical quark mass functions obtained with the DSE-Lat model together with the quenched lattice data [15]. Adapted from [9].…”

Section: Lattice-inspired Rainbow Modelmentioning

confidence: 99%

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QCD modeling of hadron physics

Maris

Tandy

2006

Nuclear Physics B - Proceedings Supplements

101

120

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Unifying Aspects of Light- and Heavy-Systems

Roberts¹

2004

Heavy Quark Physics

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Abstract. Dyson-Schwinger equations furnish a Poincaré covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. Key to the DSE's efficacious application is their expression of the materially important momentumdependent dressing of parton propagators at infrared length-scales, which is responsible for the magnitude of constituent-quark masses and the length-scale characterising confinement in bound states. A unified quantitative description of light-and heavy-quark systems is achieved by capitalising on these features.

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Aspects of quark mass generation on a torus

Fischer¹,

Pennington²

The IVth International Conference on Quarks and Nuclear Physics

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Abstract. In this talk we report on recent results for the quark propagator on a compact manifold. The corresponding Dyson-Schwinger equations on a torus are solved on volumes similar to the ones used in lattice calculations. The quark-gluon interaction is fixed such that the lattice results are reproduced. We discuss both the effects in the infinite volume/continuum limit as well as effects when the volume is small.

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Analysis of a quenched lattice-QCD dressed-quark propagator

Cited by 221 publications

References 56 publications

QCD modeling of hadron physics

QCD modeling of hadron physics

Unifying Aspects of Light- and Heavy-Systems

Aspects of quark mass generation on a torus

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