Abstract
The breaking of chiral symmetry in holographic light-front QCD is encoded in its longitudinal dynamics with its chiral limit protected by the superconformal algebraic structure which governs its transverse dynamics. The scale in the longitudinal light-front Hamiltonian determines the confinement strength in this direction: It is also responsible for most of the light meson ground state mass consistent with the Gell-Mann-Oakes-Renner constraint. Longitudinal confinement and the breaking of chiral symmetry are found to be different manifestations of the same underlying dynamics as found in 't Hooft large $N_C$ QCD(1 + 1) model.
Highlights
In spite of the important progress of Euclidean lattice gauge theory, a basic understanding of the mechanism of color confinement and its relation to chiral symmetry breaking in QCD, two fundamental phenomena of strong interactions, has remained an unsolved problem
In this article we examine the effect of longitudinal lightfront (LF) dynamics for the computation of hadron masses, confinement, and chiral symmetry breaking motivated by the previous work in Refs. [21,22,23,24,25,26,27,28,29,30]
II we briefly review the extension of the holographic lightfront framework to include quark masses by combining the longitudinal dynamics with the holographic LF QCD (HLFQCD) transverse dynamics by following [27,30]
Summary
In spite of the important progress of Euclidean lattice gauge theory, a basic understanding of the mechanism of color confinement and its relation to chiral symmetry breaking in QCD, two fundamental phenomena of strong interactions, has remained an unsolved problem. Recent developments based on superconformal quantum mechanics [1,2] in light-front quantization [3] and its holographic embedding on a higher dimensional gravity theory [4] (gauge/gravity correspondence) have led to new analytic insights into the structure of hadrons and their dynamics [5,6,7,8,9,10] This new approach to nonperturbative QCD dynamics, holographic light-front QCD, leads to effective semiclassical relativistic bound-state equations for arbitrary spin [11], and it incorporates fundamental properties which are not apparent from the QCD Lagrangian, such as the emergence of the hadron mass scale, the prediction of a massless pion in the chiral limit, and the remarkable connections between meson, baryon and tetraquark spectroscopy across the full hadron spectrum [12,13,14,15].
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