Threefold complementary approach to holographic QCD

Brodsky, Stanley J.; Téramond, Guy F. de; Dosch, H. G.

doi:10.1016/j.physletb.2013.12.044

Cited by 106 publications

(130 citation statements)

References 49 publications

(88 reference statements)

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“…The dAFF method can be extended [15] to relativistic frame-independent light-front Hamiltonian theory. Remarkably, the resulting light-front potential has a unique form of a harmonic oscillator κ 4 ζ 2 in the light-front invariant impact variable ζ where…”

Section: Color Confinement and Supersymmetry In Hadronmentioning

confidence: 99%

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Brodsky

Téramond

Dosch

et al. 2016

Int. J. Mod. Phys. A

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Superconformal algebra leads to remarkable connections between the masses of mesons and baryons of the same parity -supersymmetric relations between the bosonic and fermionic bound states of QCD. Supercharges connect the mesonic eigenstates to their baryonic superpartners, where the mesons have internal angular momentum one unit higher than the baryons: L M = L B + 1. The dynamics of the superpartner hadrons also match; for example, the power-law fall-off of the form factors are the same for the mesonic and baryonic superpartners, in agreement with twist counting rules. An effective supersymmetric light-front Hamiltonian for hadrons composed of light quarks can be constructed by embedding superconformal quantum mechanics into AdS space. This procedure also generates a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry inside the graded algebra determines a unique quark-confining light-front potential for light hadrons in agreement with the softwall AdS/QCD approach and light-front holography. Only one mass parameter √ λ appears; it sets the confinement mass scale, a universal value for the slope of all Regge trajectories, the nonzero mass of the proton and other hadrons in the chiral limit, as well as the length scale which underlies their structure. The mass for the pion eigenstate vanishes in the chiral limit. When one includes the constituent quark masses using the Feynman-Hellman theorem, the predictions are consistent with the empirical features of the light-quark hadronic spectra. Our analysis can be consistently applied to the excitation spectra of the π, ρ, K, K * and φ meson families as well as to the N, ∆, Λ, Σ, Σ * , Ξ and Ξ * baryons. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass-squared of the light hadrons can be expressed in a universal and frame-independent decomposition of contributions from the constituent kinetic energy, the confinement potential, and spin-spin contributions. We also predict features of hadron dynamics, including hadronic light-front wavefunctions, distribution amplitudes, form factors, valence structure functions and vector meson electroproduction phenomenology. The mass scale √ λ can be connected to the parameter Λ M S in the QCD running coupling by matching the nonperturbative dynamics, as described by the light-front holographic approach. to the perturbative QCD regime. The result is an effective coupling defined at all momenta. The matching of the high and low momentum-transfer regimes determines a scale Q 0 proportional to √ λ which sets the interface between perturbative and nonperturbative hadron dynamics. The use of Q 0 to resolve the factorization scale uncertainty for structure functions and distribution amplitudes, in combi-2 nation with the scheme-independent Principle of Maximal Conformality (PMC) procedure for setting renormalization scales, can greatly improve the precision of perturbative QCD predictions.

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Section: Color Confinement and Supersymmetry In Hadronmentioning

confidence: 99%

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Brodsky

Téramond

Dosch

et al. 2016

Int. J. Mod. Phys. A

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“…The interpretation as mutual compensation between the tower of states and the repulsive harmonic oscillator is confirmed by noticing that the change of variables is a special case of transformations of conformal field theories that introduce a scale into the Lagrangian without affecting conformality, which is saved by a simultaneous change of the time variable [27]. [For another use of these transformations in light-front holography [28] see [29]. Light-front holography identifies the extra dimension with ζ 2 = x(1 − x)b 2 ⊥ , where x stands for the lightfront momentum fraction of one of the constituents of the meson and b ⊥ for the transverse separation of the constituents.]…”

Section: Holography Without Strings Attachedmentioning

confidence: 99%

Worldline holographic Schwinger effect

Dietrich

2014

Phys. Rev. D

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The decay of the vacuum due to the presence of an electric field is expected to be delayed by a confining force. We demonstrate that this feature is captured by our model [1] for hadrons based on the worldline formalism. Our model, while based entirely in four-dimensional quantum field theory, shares many features with holographic approaches: it appears intrinsically quantum mechanical; as an auxiliary fifth dimension Schwinger's proper time combines with the physical four spacetime dimensions into an AdS5 geometry; conformal-symmetry breaking contributions lead to warping; hidden local symmetry emerges; four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow); and a variational principle for this flow reproduces the corresponding holographic calculation. The approach also yields the higher-dimensional description in the nonrelativistic case.

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“…In fact, the entire Regge spectrum of light-quark mesons and baryons in n, L, and S is well reproduced by the eigenvalues of a frame-independent light-front Shrödinger and Dirac equations with a confining quark-diquark potential dictated by the softwall AdS/QCD approach and light-front holography. [15][16][17] Remarkably the same confining light-front potential arises from principle of de Alfaro, Fubini, and Furlan 18 which allows a mass scale an a confining harmonic oscillator potential to appear in equations of motion without affecting the conformal invariance of the action.…”

Section: The Origin Of the "Ridge" In Proton-proton Collisions And Thmentioning

confidence: 93%

The renormalization scale problem and novel perspectives for QCD

Brodsky

2015

Int. J. Mod. Phys. Conf. Ser.

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I discuss a number of novel tests of QCD, measurements which can illuminate fundamental features of hadron physics. These include the origin of the "ridge" in proton-proton collisions; the production of the Higgs at high x F ; the role of digluon-initiated processes for quarkonium production; flavor-dependent anti-shadowing; the effect of nuclear shadowing on QCD sum rules; direct production of hadrons at high transverse momentum; and leading-twist lensing corrections; and the breakdown of perturbative QCD factorization. I also review the "Principle of Maximum Conformalit" (PMC) which systematically sets the renormalization scale order-by-order in pQCD, independent of the choice of renormalization scheme, thus eliminating an unnecessary theoretical uncertainty.

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Threefold complementary approach to holographic QCD

Cited by 106 publications

References 49 publications

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Worldline holographic Schwinger effect

The renormalization scale problem and novel perspectives for QCD

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