Extending light-front holographic QCD using the 't Hooft Equation

Ahmady, Mohammad; Dahiya, Harleen; Kaur, Satvir; Mondal, Chandan; Sandapen, Ruben; Sharma, Neetika

doi:10.1016/j.physletb.2021.136754

Cited by 16 publications

(9 citation statements)

References 41 publications

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“…Second, as already noted in Ref. [20], the 't Hooft potential is consistent with the holographic potential in that they both correspond to a linear confining potential in the non-relativistic limit, with g = κ [20]. To show this, first note that the 't Hooft potential in position space reads…”

Section: The 'T Hooft Equationsupporting

confidence: 71%

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Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation

Ahmady,

Kaur,

MacKay

et al. 2021

Preprint

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Light-front holographic QCD provides a successful first approximation to hadron spectroscopy in the chiral limit of (3 + 1)-dim light-front QCD, where a holographic Schrödinger-like Equation, with an emerging confining scale, κ, governs confinement in the transverse direction. In its supersymmetric formulation, light-front holography predicts that each baryon has two superpartners: a meson and a tetraquark, with their degenerate masses being generated by the same scale, κ. In nature, this mass degeneracy is lifted by chiral symmetry breaking and longitudinal confinement.In this paper, we show that the latter can be successfully captured by the 't Hooft Equation of(1 + 1)-dim, large N c , QCD. Together, the holographic Schrödinger Equation and the 't Hooft Equation, provide a good global description of the data across the full hadron spectrum with a universal κ.

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Section: The 'T Hooft Equationsupporting

confidence: 71%

“…In comparison to Ref. [20], we allow the light GeV for all hadrons, and that it coincides with g for hadrons with two heavy quarks.…”

Section: Computing the Hadron Spectrummentioning

confidence: 99%

Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation

Ahmady,

Kaur,

MacKay

et al. 2021

Preprint

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“…The Heavy Quark Effective Theory (HQET) determines that the mass difference between the heavy-light vector and the pseudoscalar mesons in their ground states is suppressed by the heavy quark mass, M V Qq − M P Qq ∼ 1/m Q , while M V /P Qq ∼ m Q . Together, the holographic Schrödinger equation and the 't Hooft equation also correctly predict the HQET constraint, when we presume that κ( m Q ) does not scale with m Q [9,10].…”

Section: The 'T Hooft Equation and Longitudinal Confinementmentioning

confidence: 55%

“…The longitudinal dynamics of a bound state can be described by the well known 't Hooft equation [7][8][9][10]. The Schrödinger-like equation derived by 't Hooft from the QCD Lagrangian in (1 + 1)-dimensions and in the large-N c approximation is given by…”

Section: The 'T Hooft Equation and Longitudinal Confinementmentioning

confidence: 99%

“…[13], we have illustrated in Refs. [9,10] that in the non-relativistic limit, both the longitudinal and the transverse light-front potentials are equivalent to instant-form linear potentials in the center-of-mass (CM) frame: V ∼ (g 2 /2)b and V ⊥ ∼ (κ 2 /2)b ⊥ , respectively. Thus, with g ∼ κ, the rotational symmetry is restored in the CM frame for the heavyheavy system.…”

Section: The 'T Hooft Equation and Longitudinal Confinementmentioning

confidence: 99%

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Longitudinal dynamics in light-front holographic QCD and hadron spectroscopy

Mondal

2022

Supl. Rev. Mex. Fis.

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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.

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Light mesons with one dynamical gluon on the light front

Lan

Mondal

et al. 2022

Physics Letters B

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Extending light-front holographic QCD using the 't Hooft Equation

Cited by 16 publications

References 41 publications

Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation

Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation

Longitudinal dynamics in light-front holographic QCD and hadron spectroscopy

Light mesons with one dynamical gluon on the light front

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