On the effective Hamiltonian for QCD: An overview and status report

Pauli, Hans–Christian

doi:10.1016/s0920-5632(02)01344-0

Cited by 9 publications

(10 citation statements)

References 25 publications

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“…To do so, they transformed the light-front coordinate x back to the coordinate k 3 by Terent'ev transformation [21], and used a unitary transformation to transform the Lepage-Brodsky spinors to the Bjorken-Drell spinors [22]. Then the mass eigen equation ( 5) becomes [23]:…”

Section: Description Of the Modelmentioning

confidence: 99%

QCD inspired relativistic bound state model and meson structures

Wang,

Tao,

Guo

et al. 2010

Preprint

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A QCD inspired relativistic effective Hamiltonian model for the bound states of mesons has been constructed, which integrates the advantages of several QCD effective Hamiltonian models. Based on light-front QCD effective Hamiltonian model, the squared invariant mass operator of meson is used as the effective Hamiltonian. The model has been improved significantly in four major aspects: i) it is proved that in center of mass frame and in internal coordinate Hilbert subspace, the total angular momentum J of meson is conserved and the mass eigen equation can be expressed in total angular momentum representation and in terms of a set of coupled radial eigen equations for each J; ii) Based on lattice QCD results, a relativistic confining potential is introduced into the effective interaction and the excited states of mesons can be well described; iii) an SU(3) flavor mixing interaction is introduced phenomenologically to describe the flavor mixing mesons and the mass eigen equations contain the coupling among different flavor components; iv) the mass eigen equations are of relativistic covariance and the coupled radial mass eigen equations take full account of L − S coupling and tensor interactions. The model has been applied to describe the whole meson spectra of about 265 mesons with available data, and the mass eigen equations have been solved nonperturbatively and numerically. The agreement of the calculated masses, squared radii, and decay constants with data is quite well. For the mesons whose mass data have large experimental uncertainty, the model produces certain mass values for test. For some mesons whose total angular momenta and parity are not assigned experimentally, the model gives a prediction of the spectroscopic configuration 2S+1 LJ . The connection between our model and the recent low energy QCD issues-the infrared conformal scaling invariance and holographic QCD hadron models is discussed.

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Section: Description Of the Modelmentioning

confidence: 99%

QCD inspired relativistic bound state model and meson structures

Wang,

Tao,

Guo

et al. 2010

Preprint

View full text Add to dashboard Cite

show abstract

“…(In Refs. [3] and [23] were used a local Yukawa potential for the regularization of the contact interaction, here we use a separable form for simplicity. )…”

Section: ′2mentioning

confidence: 99%

“…The general structure of the qq bound state forming the meson comes from the pseudoscalar coupling (23). We use such spin structure in the computation of the photo-absorption amplitude in the impulse approximation (represented by a Feynman triangle diagram), which is written as:…”

Section: A Form Factor Of Pseudoscalar Mesonsmentioning

confidence: 99%

“…The pseudoscalar meson electromagnetic form-factor is obtained from the impulse approximation of the plus component of the current (j + = j 0 + j 3 ) in the Breit-frame with momentum transfer q + = 0 and q 2 = − q 2 satisfying the Drell-Yan condition. The general structure of the qq bound state forming the meson comes from the pseudoscalar coupling (23). We use such spin structure in the computation of the photo-absorption amplitude in the impulse approximation (represented by a Feynman triangle diagram), which is written as:…”

Section: A Form Factor Of Pseudoscalar Mesonsmentioning

confidence: 99%

“…The matrix element of the plus component of the axial current is derived from the pseudoscalar Lagrangian, (23), and it is expressed by a one-loop diagram, which is given by:…”

Section: B Weak Decay Constantmentioning

confidence: 99%

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Electromagnetic structure and weak decay of pseudoscalar mesons in a light-front QCD-inspired model

et al. 2006

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We study the scaling of the 3 S 1 − 1 S 0 meson mass splitting and the pseudoscalar weak decay constants with the mass of the meson, as seen in the available experimental data. We use an effective light-front QCD-inspired dynamical model regulated at short-distances to describe the valence component of the pseudoscalar mesons. The experimentally known values of the mass splittings, decay constants (from global lattice-QCD averages) and the pion charge form factor up to 4 [GeV/c] 2 are reasonably described by the model.

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Successful renormalization of a QCD-inspired Hamiltonian

Pauli

2004

Perspectives in Hadronic Physics

Self Cite

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The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the conventional ideas: The Hamiltonian is first regulated by suitable cut-off functions, and subsequently renormalized by suitable counter terms to make it cut-off independent. The formalism is applied to physical mesons with a different flavor of quark and anti-quark. The excitation spectrum of the ρ-meson with its excellent agreement between theory and experiment is discussed as a pedagogical example.Reverting the argument, one concludes as in [20] that the oscillator model in Eq.(22) explains quite naturally the systematics found by Anisovich et al. [22]. Relating the oscillator model to QCDThe oscillator model in Eq. (22) is only the harmonic approximation to the QCD-inspired, generalized Coulomb potential in Eq.(20). Their parameters are related obviously by c t = −α c λa, b = 0, and

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On the effective Hamiltonian for QCD: An overview and status report

Cited by 9 publications

References 25 publications

QCD inspired relativistic bound state model and meson structures

QCD inspired relativistic bound state model and meson structures

Electromagnetic structure and weak decay of pseudoscalar mesons in a light-front QCD-inspired model

Successful renormalization of a QCD-inspired Hamiltonian

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