Masses of the physical mesons from an effective QCD Hamiltonian

Pauli, Hans–Christian; Merkel, J.

doi:10.1103/physrevd.55.2486

Cited by 14 publications

(13 citation statements)

References 35 publications

(98 reference statements)

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“…As mentioned in the introduction, there has been an attempt to derive an effective LF Hamiltonian starting from QCD using DLCQ [26]. Transforming the LFD variables to the ordinary variables in the instant form dynamics (IFD), one may see the equivalence between the resulting effective LF Hamiltonian for the quark and antiquark bound-states and the usual relativistic constituent quark model Hamiltonian for mesons typically given in the rest frame of the meson, i.e.…”

Section: Model Descriptionmentioning

confidence: 99%

“…(1) and (2) was discussed in Ref. [26]. For the hyperfine interaction V hyp , one may consider the relativization such as V hyp → m q mq/E q EqV hyp m q mq/E q Eq [31,32].…”

Section: Model Descriptionmentioning

confidence: 99%

“…Typically, rigorous derivations of the connection between the effective constituent degrees of freedom and the fundamental QCD quark, antiquark and gluon degrees of freedom have been explored by solving momentum-dependent mass gap equations as discussed in many-body Hamiltonian approach [24], DysonSchwinger approach [25], etc. Although one has not yet explored solving the momentum-dependent mass gap equation in LFD, there has been some attempt to derive an effective LF Hamiltonian starting from QCD using the discrete light-cone quantization (DLCQ) and solve the corresponding equation of motion approximately for the quark and antiquark bound-states to provide semianalytical expressions for the masses of pseudoscalar and vector mesons [26]. The attempt to link between QCD and LFQM is also supported by our recent analyses of quark-antiquark distribution amplitudes for pseudoscalar and vector mesons in LFQM [27], where we presented a self-consistent covariant description of twist 2 and twist 3 quark-antiquark distribution amplitudes for pseudoscalar and vector mesons in LFQM to discuss the link between the chiral symmetry of QCD and the LFQM.…”

Section: Introductionmentioning

confidence: 99%

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Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

Choi

et al. 2015

Phys. Rev. C

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Using the variational principle, we compute mass spectra and decay constants of ground state pseudoscalar and vector mesons in the light-front quark model (LFQM) with the QCD-motivated effective Hamiltonian including the hyperfine interaction. By smearing out the Dirac delta function in the hyperfine interaction, we avoid the issue of negative infinity in applying the variational principle to the computation of meson mass spectra and provide analytic expressions for the meson mass spectra. Our analysis with the smeared hyperfine interaction indicates that the interaction for the heavy meson sector including the bottom and charm quarks gets more pointlike. We also consider the flavor mixing effect in our analysis and determine the mixing angles from the mass spectra of (ω, φ ) and (η, η ). Our variational analysis with the trial wave function including the two lowest order harmonic oscillator basis functions appears to improve the agreement with the data of meson decay constants and the heavy meson mass spectra over the previous computation handling the hyperfine interaction as perturbation.

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Section: Model Descriptionmentioning

confidence: 99%

“…(1) and (2) was discussed in Ref. [26]. For the hyperfine interaction V hyp , one may consider the relativization such as V hyp → m q mq/E q EqV hyp m q mq/E q Eq [31,32].…”

Section: Model Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

Choi

et al. 2015

Phys. Rev. C

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“…The numerical value of κ = 0.19 GeV gives a reasonable fit to the empirical masses of the scalar and vector mesons [30]. This form was introduced by long ago Richardson [45] to interpolate between asymptotic freedom and infrared slavery, see also [42].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…As to be shown, it allows for a systematic discussion of the many-body effects in a field theory without truncating the expressions at a finite order of perturbation theory, at any time. With only a few well localizable assumptions one ends up with integral equations, whose structure is similar what was solved already in the past [26,30,31]. Most importantly one arrives at the conclusion that the effective interaction has essentially only two contributions: a flavor-conserving and a flavor-changing part.…”

Section: Introductionmentioning

confidence: 97%

On confinement in a light-cone Hamiltonian for QCD

Pauli¹

1999

Eur. Phys. J. C

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Abstract. The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. Emphasis is put on the many-body aspects of gauge field theory, and it is shown explicitly how the higher Fock-space amplitudes can be retrieved self-consistently from solutions in the qq-space. The approach is based on the novel method of iterated resolvents and on discretized light-cone quantization driven to the continuum limit. It is free of the usual perturbative Tamm-Dancoff truncations in particle number and coupling constant and respects all symmetries of the Lagrangian including covariance and gauge invariance. Approximations are done to the non-truncated formalism. Together with vertex as opposed to Fockspace regularization, the method allows to apply the renormalization programme non-perturbatively to a Hamiltonian. The conventional QCD scale is found arising from regulating the transversal momenta. It conspires with additional mass scales to produce possibly confinement.

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Successful renormalization of a QCD-inspired Hamiltonian

Pauli

2004

Perspectives in Hadronic Physics

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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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Masses of the physical mesons from an effective QCD Hamiltonian

Cited by 14 publications

References 35 publications

Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

On confinement in a light-cone Hamiltonian for QCD

Successful renormalization of a QCD-inspired Hamiltonian

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