Threefold Complementary Approach to Holographic QCD

TL;DR

This paper introduces a novel nonperturbative approach to holographic QCD combining AdS space, light-front quantization, and conformal symmetry, leading to a unique confinement model consistent with QCD features.

Contribution

It develops a new unified framework for holographic QCD that derives the confinement potential from conformal symmetry and AdS space, providing a deeper theoretical understanding.

Findings

Derives a light-front wave equation incorporating hadron spectroscopy.

Identifies the confinement scale from conformal symmetry principles.

Determines the form of the confinement interaction uniquely from the theory.

Abstract

A complementary approach, derived from (a) higher dimensional anti--de Sitter (AdS) space, (b) light-front quantization and (c) the invariance properties of the full conformal group in one dimension leads to a nonperturbative relativistic light-front wave equation which incorporates essential spectroscopic and dynamical features of hadron physics. The fundamental conformal symmetry of the classical QCD Lagrangian in the limit of massless quarks is encoded in the resulting effective theory. The mass scale for confinement emerges from the isomorphism between the conformal group and SO(2,1). This scale appears in the light-front Hamiltonian by mapping to the evolution operator in the formalism of de Alfaro, Fubini and Furlan, which retains the conformal invariance of the action. Remarkably, the specific form of the confinement interaction and the corresponding modification of AdS space are uniquely determined in this procedure.