Longitudinal dynamics in light-front holographic QCD and hadron spectroscopy

Authors

  • Chandan Mondal Institute of Modern Physics, Chinese Academy of Sciences

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308091

Keywords:

Light-front holographic QCD, 't Hooft Equation, Confinements, Hadron Spectroscopy

Abstract

We demonstrate that the ’t Hooft equation and the light-front holographic Schrodinger equation are complementary to each other in governing ¨ the longitudinal and the transverse dynamics of color confinement in mesons (quark-antiquark) and baryons (quark-diquark). Together, they describe remarkably well the spectroscopic data for the light-light, heavy-light and heavy-heavy hadrons. In all hadrons, the transverse dynamics of confinement is controlled by the universal emerging hadronic scale of the light-front holography, κ ∼ 0.5 GeV, which, in heavy-heavy hadrons, coincides with the ’t Hooft coupling that governs the longitudinal confinement. This reflects the restoration of the rotational symmetry in the non-relativistic limit.

References

S. J. Brodsky, G. F. de Teramond, H. G. Dosch and J. Erlich, Phys. Rept. 584 (2015) 1-105, https://doi.org/10.1016/j.physrep.2015.05.001.

S. J. Brodsky and G. F. de Teramond, Phys. Rev. Lett. 96, (2006) 201601, https://doi.org/10.1103/PhysRevLett.96.201601.

G. F. de Teramond and S. J. Brodsky, Phys. Rev. Lett. 94, (2005) 201601, https://doi.org/10.1103/PhysRevLett.94.201601.

G. F. de Teramond and S. J. Brodsky, Phys. Rev. Lett. 102, (2009) 081601, https://doi.org/10.1103/PhysRevLett.102.081601.

S. J. Brodsky and G. F. de Teramond, Phys. Rev. D 77, (2008) 056007, https://doi.org/10.1103/PhysRevD.77.056007.

S. J. Brodsky and G. F. de Teramond, Phys. Rev. D 78, (2008) 025032, https://doi.org/10.1103/PhysRevD.78.025032.

G. ’t Hooft, Nucl. Phys. B 75, (1974) 461-470, https://doi.org/10.1016/0550-3213(74)90088-1.

S. S. Chabysheva and J. R. Hiller, Annals Phys. 337, (2013) 143-152, https://doi.org/10.1016/j.aop.2013.06.016.

M. Ahmady, H. Dahiya, S. Kaur, C. Mondal, R. Sandapen and N. Sharma, Phys. Lett. B 823, (2021) 136754, https://doi.org/10.1016/j.physletb.2021.136754.

M. Ahmady, S. Kaur, S. L. MacKay, C. Mondal and R. Sandapen, Phys. Rev. D 104 (2021) 074013, https://doi.org/10.1103/PhysRevD.104.074013.

G. F. de Teramond and S. J. Brodsky, Phys. Rev. D 104 (2021) 116009, https://doi.org/10.1103/PhysRevD.104.116009.

M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175, (1968) 2195-2199, https://doi.org/10.1103/PhysRev.175.2195.

A. P. Trawinski, S. D. Głazek, S. J. Brodsky, G. F. de Teramond and H. G. Dosch, Phys. Rev. D 90 (2014) 074017, https: //doi.org/10.1103/PhysRevD.90.074017.

Y. Li, P. Maris, X. Zhao and J. P. Vary, Phys. Lett. B 758, (2016) 118-124, https://doi.org/10.1016/j.physletb.2016.04.065.

Y. Li and J. P. Vary, Phys. Lett. B 825, (2022) 136860, https://doi.org/10.1016/j.physletb.2021.136860.

A. B. Sheckler and G. A. Miller, Phys. Rev. D 103 (2021) 096018, https://doi.org/10.1103/PhysRevD.103.096018.

C. M. Weller and G. A. Miller, Phys. Rev. D 105 (2022) 036009, https://doi.org/10.1103/PhysRevD.105.036009.

J. Lan, C. Mondal, S. Jia, X. Zhao and J. P. Vary, Phys. Rev. Lett. 122 (2019) 172001, https://doi.org/10.1103/PhysRevLett.122.172001.

J. Lan, C. Mondal, S. Jia, X. Zhao and J. P. Vary, Phys. Rev. D 101 (2020) 034024, https://doi.org/10.1103/PhysRevD.101.034024.

J. Lan, C. Mondal, M. Li, Y. Li, S. Tang, X. Zhao and J. P. Vary, Phys. Rev. D 102 (2020) 014020, https://doi.org/10.1103/PhysRevD.102.014020.

C. Mondal, S. Xu, J. Lan, X. Zhao, Y. Li, D. Chakrabarti and J. P. Vary, Phys. Rev. D 102 (2020) 016008, https://doi.org/10.1103/PhysRevD.102.016008.

S. Xu et al. [BLFQ], Phys. Rev. D 104 (2021) 094036, https://doi.org/10.1103/PhysRevD.104.094036.

J. Lan et al. [BLFQ], Phys. Lett. B 825 (2022) 136890, https://doi.org/10.1016/j.physletb.2022.136890.

P. A. Zyla et al. [Particle Data Group], PTEP 2020 (2020) 083C01, https://doi.org/10.1093/ptep/ptaa104.

S. J. Brodsky, G. F. de Teramond, H. G. Dosch and C. Lorce, Int. J. Mod. Phys. A 31 (2016) 1630029, https://doi.org/10.1142/S0217751X16300295. [arXiv:1606.04638 [hep-ph]].

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Published

2022-06-30

How to Cite

1.
Mondal C. Longitudinal dynamics in light-front holographic QCD and hadron spectroscopy. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 30 [cited 2024 Apr. 23];3(3):0308091 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6212