Light-front Bethe-Salpeter equation

Sales, Jorge Henrique; Frederico, T.; Carlson, B. V.; Sauer, P.U.

doi:10.1103/physrevc.61.044003

Cited by 90 publications

(177 citation statements)

References 32 publications

(42 reference statements)

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“…Brief review of our previous method [12] The essential feature of our approach is to consider the light-front wave function as the solution of light-front Bethe-Salpeter equation(LFBSE) given by [12,16,27,28] …”

Section: Generalized Parton Distributions In Light-front Bethe-smentioning

confidence: 99%

Continuity of generalized parton distributions for the pion virtual Compton scattering

Choi

Kisslinger

2002

Phys. Rev. D

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We discuss a consistent treatment of the light-front gauge-boson and meson wave functions in the analyses of the generalized parton distributions(GPDs) and the scattering amplitudes in deeply virtual Compton scattering(DVCS) for the pion. The continuity of the GPDs at the crossover, where the longitudinal momentum fraction of the probed quark is same with the skewedness parameter, and the finiteness of the DVCS amplitude are ensured if the same light-front radial wave function as that of the meson bound state wave function is used for the gauge boson bound state arising from the pair-creation(or nonvalence) diagram. The frame-independence of our model calculation is also guaranteed by the constraint from the sum rule between the GPDs and the form factors.

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Section: Generalized Parton Distributions In Light-front Bethe-smentioning

confidence: 99%

Continuity of generalized parton distributions for the pion virtual Compton scattering

Choi

Kisslinger

2002

Phys. Rev. D

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“…At last, it will be quite interesting to apply λ-regularization for the LF Bethe-Salpeter equations as in [9].…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

Light-Front Perturbation Without Spurious Singularities

2016

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A new form of the light front Feynman propagators is proposed. It contains no energy denominators. Instead the dependence on the longitudinal subinterval x 2 L = 2x + x − is explicit and a new formalism for doing the perturbative calculations is invented. These novel propagators are implemented for the one-loop effective potential and various 1-loop 2-point functions for a massive scalar field. The consistency with results for the standard covariant Feynman diagrams is obtained and no spurious singularities are encountered at all. Some remarks on the calculations with fermion and gauge fields in QED and QCD are added.

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“…We follow the LF projection technique of four-dimensional Bethe-Salpeter like equations as developed in ref. [31] based on the quasi-potential approach (QPA). The reduced amplitudes derived using the tools developed in a series of works [31][32][33][34][35] and reviewed in [36], depends only three-dimensional variables, namely, the kinematical LF momentum k ≡ (k + , k ⊥ ), defined by k + = k 0 + k 3 and k ⊥ = {k x , k y }.…”

Section: Fsi Light-front Dynamics In Heavy Meson Decaymentioning

confidence: 99%

“…We use a parametrization of the Kπ scattering amplitude in I = 1/2 and 3/2, which is input to the bachelor integral equations, and constitutes one source of the energy dependence seen in the D + → K − π + π + S-wave phase shift, besides the phase of the Kπ amplitude. Technically, we perform the light-front projection of the equations [31][32][33][34][35][36][37], to simplify the numerical computation of the observables by three-dimensional integrations. These techniques are well exemplified in the reviews of applications of light-front field theory to nuclear and hadron physics [38,39].…”

Section: Jhep08(2014)135mentioning

confidence: 99%

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Guimaraes

Lourenço

Paula

et al. 2014

J. High Energ. Phys.

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The final state interaction contribution to D + decays is computed for the K − π + π + channel within a light-front relativistic three-body model for the final state interaction. The rescattering process between the kaon and two pions in the decay channel is considered. The off-shell decay amplitude is a solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in a Faddeev form. The projection onto the light-front of the coupled set of integral equations is performed via a quasi-potential approach. The S-wave Kπ interaction is introduced in the resonant isospin 1/2 and the non-resonant isospin 3/2 channels. The numerical solution of the light-front tridimensional inhomogeneous integral equations for the Faddeev components of the decay amplitude is performed perturbatively. The loop-expansion converges fast, and the three-loop contribution can be neglected in respect to the two-loop results for the practical application. The dependence on the model parameters in respect to the input amplitude at the partonic level is exploited and the phase found in the experimental analysis, is fitted with an appropriate choice of the real weights of the isospin components of the partonic amplitude. The data suggests a small mixture of total isospin 5/2 to the dominant 3/2 one. The modulus of the unsymmetrized decay amplitude, which presents a deep valley and a following increase for Kπ masses above 1.5 GeV, is fairly reproduced. This suggests the assignment of the quantum numbers 0 + to the isospin 1/2 K * (1630) resonance.

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Light-front Bethe-Salpeter equation

Abstract: A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics.It yields auxiliary quantities for the transition matrix and the bound state.

Cited by 90 publications

References 32 publications

Continuity of generalized parton distributions for the pion virtual Compton scattering

Continuity of generalized parton distributions for the pion virtual Compton scattering

Light-Front Perturbation Without Spurious Singularities

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

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