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QCD and a Holographic Model of Hadrons

Joshua Erlich, Emanuel Katz, Dam T. Son, Mikhail A. Stephanov

TL;DR

The framework is a holographic version of the QCD sum rules, motivated by the anti-de Sitter/conformal field theory correspondence, and naturally incorporates properties of QCD dictated by chiral symmetry.

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 (AdS/CFT) 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.

QCD and a Holographic Model of Hadrons

TL;DR

The framework is a holographic version of the QCD sum rules, motivated by the anti-de Sitter/conformal field theory correspondence, and naturally incorporates properties of QCD dictated by chiral symmetry.

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 (AdS/CFT) 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.

Paper Structure

This paper contains 22 equations, 2 tables.