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Light-Front Holographic QCD and Emerging Confinement

17 Pith papers cite this work, alongside 542 external citations. Polarity classification is still indexing.

17 Pith papers citing it
542 external citations · Pith
abstract

In this report we explore the remarkable connections between light-front dynamics, its holographic mapping to gravity in a higher-dimensional anti-de Sitter (AdS) space, and conformal quantum mechanics. This approach provides new insights into the origin of a fundamental mass scale and the physics underlying confinement dynamics in QCD in the limit of massless quarks. The result is a relativistic light-front wave equation for arbitrary spin with an effective confinement potential derived from a conformal action and its embedding in AdS space. This equation allows for the computation of essential features of hadron spectra in terms of a single scale. The light-front holographic methods described here gives a precise interpretation of holographic variables and quantities in AdS in terms of light-front variables and quantum numbers. This leads to a relation between the AdS wave functions and the boost-invariant light-front wave functions describing the internal structure of hadronic bound states in physical space-time. The pion is massless in the chiral limit and the excitation spectra of relativistic light-quark meson and baryon bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. In the light-front holographic approach described here currents are expressed as an infinite sum of poles, and form factors as a product of poles. At large $q^2$ the form factor incorporates the correct power-law fall-off for hard scattering independent of the specific dynamics and is dictated by the twist. At low $q^2$ the form factor leads to vector dominance. The approach is also extended to include small quark masses. We briefly review in this report other holographic approaches to QCD, in particular top-down and bottom-up models based on chiral symmetry breaking. We also include a discussion of open problems and future applications.

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representative citing papers

Light-front Hamiltonian jet evolution in the Glasma

hep-ph · 2026-05-11 · unverdicted · novelty 7.0

A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.

Gluon mass and small-x dynamics in hadrons

hep-th · 2026-06-28 · unverdicted · novelty 5.0

Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.

Holographic QCD predictions for rare B decays

hep-ph · 2019-06-21 · unverdicted · novelty 5.0

Holographic light-front QCD supplies K* distribution amplitudes that produce alternate predictions for rare B decay form factors, compared against sum rules and experiment.

Renormalisation

hep-ph · 2025-11-03 · unverdicted · novelty 1.0

An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.

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Showing 17 of 17 citing papers.