Euclidean to Minkowski Bethe–Salpeter amplitude and observables

Carbonell, J.; Frederico, T.; Karmanov, V. A.

doi:10.1140/epjc/s10052-017-4616-0

Cited by 10 publications

(6 citation statements)

References 27 publications

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“…Though it is well-known that establishing a proper connection between Bethe-Salpeter amplitudes or any of its threedimensional reductions, with light-front wave functions is a non-trivial problem, attempts to solve or at least bridge the two approaches have been developed in multiple contexts [10][11][12][13][14][15][16][17][18][19].…”

Section: Arxiv:170506178v1 [Hep-ph] 17 May 2017mentioning

confidence: 99%

Comparison of two Minkowski-space approaches to heavy quarkonia

Leitão

Maris

et al. 2017

Eur. Phys. J. C

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In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Basis Light-Front Quantization approach, where light-front wave functions are naturally formulated; and, the Covariant Spectator Theory (CST), based on a reorganization of the Bethe-Salpeter equation. Even though conceptually different, both solutions are obtained in Minkowski space. Comparisons of decay constants for more than ten states of charmonium and bottomonium show favorable agreement between the two approaches as well as with experiment where available. We also apply the Brodsky-Huang-Lepage prescription to convert the CST amplitudes into functions of light-front variables. This provides an ideal opportunity to investigate the similarities and differences at the level of the wave functions. Several qualitative features are observed in remarkable agreement between the two approaches even for the rarely addressed excited states. Leading-twist distribution amplitudes as well as parton distribution functions of heavy quarkonia are also analyzed.

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Section: Arxiv:170506178v1 [Hep-ph] 17 May 2017mentioning

confidence: 99%

Comparison of two Minkowski-space approaches to heavy quarkonia

Leitão

Maris

et al. 2017

Eur. Phys. J. C

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“…To evaluate the form factors, the current may also have to be consistently dressed [23]. The bridge between the Euclidean Bethe-Salpeter and the Minkowskian light-front approaches is not yet built [24][25][26][27][28][29][30][31].…”

mentioning

confidence: 99%

Frame dependence of form factors in light-front dynamics

Li¹,

Maris²,

Vary³

2018

Phys. Rev. D

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In light-front dynamics, form factors are traditionally computed with the "good current" J þ within the Drell-Yan frame q þ ¼ 0. Due to truncations imposed in practical calculations, the from factor may acquire frame dependence, which is often neglected. In this work, we explore the form factors in more general frames, preserving the boost covariance. We find the frame dependence of the elastic form factors for mesons is small in basis light-front holography and related models with two-body Fock space truncation. We suggest to use the difference between form factor results from Drell-Yan frame and the "longitudinal frame" as a metric for the violation of the Lorentz symmetry due to Fock space truncation.

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“…where ξ is a numerical parameter providing additional control of the rate of convergence. Then we have dp = 2ξ (1 − t) 2 dt.…”

Section: Gauss-legendre Quadrature Rulementioning

confidence: 99%

“…The Bethe-Salpeter equation [1] is based on the relativistic field theory and is an appropriate tool to deal with bound states. In comparison with the four-dimensional Bethe-Salpeter equation [2][3][4][5], the three-dimensional reductions of it are relatively easy to be handled [1,[6][7][8][9][10][11]. In Ref.…”

Section: Introductionmentioning

confidence: 99%