Concepedia

QCD and a Holographic Model of Hadrons

Joshua Erlich, Emanuel Katz, D. Son, Mikhail Stephanov

Physical Review Letters · 2005 · 1.2K citations · 26 references

Open access

Concepts

Natural SciencesPhysicsMathematical PhysicsParticle PhysicsTheoretical PhysicsBaryon PhysicsHadron PhysicsMeson PhysicsQuantum ChromodynamicsQuantum Field TheoryStrong InteractionAnti-de Sitter SpaceBaryon MassesBaryon StructureChiral Symmetry BreakingConformal Field TheoryDecay RatesQcd Sum RulesQuantum Chromodynamics Sum Rules

TL;DR

The framework is a holographic version of the QCD sum rules, motivated by the anti‑de Sitter/conformal field theory correspondence. The authors propose a five‑dimensional framework to model low‑energy QCD properties. They construct a simple three‑parameter model that computes masses, decay rates, and couplings of the lightest mesons within this five‑dimensional framework. The model fits experimental data within 10% and naturally incorporates QCD chiral symmetry, as demonstrated by deriving the Gell‑Mann‑Oakes‑Renner relation for the pion mass.

Abstract

We propose a five-dimensional framework for modeling low-energy properties of QCD. In the simplest three parameter model we compute masses, decay rates and couplings of the lightest mesons. The model fits experimental data to within 10%. The framework is a holographic version of the QCD sum rules, motivated by the anti-de Sitter/conformal field theory correspondence. The model naturally incorporates properties of QCD dictated by chiral symmetry, which we demonstrate by deriving the Gell-Mann-Oakes-Renner relationship for the pion mass.