Chiral currents and static properties of nucleons in holographic QCD

Abstract

We analyze static properties of nucleons in the two flavor holographic QCD model of Sakai and Sugimoto described effectively by a five-dimensional U(2) Yang-Mills theory with the Chern-Simons term on a curved background. The baryons are represented in this model as a soliton, which at a time slice is approximately the BPST instanton with a fixed size. First, we construct a chiral current in four dimensions from the Noether current of local gauge transformations which are non-vanishing on the boundaries of the extra dimension. We examine this chiral current for nucleons with quantized collective coordinates to compute their charge distribution, charge radii, magnetic moments and axial vector coupling. Most of the results are better close to the experimental values than in the Skyrme model. We discuss the problems of our chiral current; non-uniqueness of the local gauge transformation for defining the current, and its gauge-noninvariance.

arXiv comment30 pages, 1 figure; a footnote added in sec. 4.4, minor corrections

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• Nucleon Form Factors from 5D Skyrmions
• Model Independent Tests of Skyrmions and Their Holographic Cousins
• Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
• Theta dependence in Holographic QCD
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Baryonic Response of Dense Holographic QCD
• Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter
• Gravitational form factors of pion from top-down holographic QCD
• Decay properties of Roper resonance in the holographic QCD
• Electromagnetic transition amplitude for Roper resonance from holographic QCD
• Stringy excited baryons in holographic QCD
• Decay properties of $N(1535)$ in the holographic QCD
• The Holographic Description of Baryon in Non- Critical String Theory
• Large-distance properties of holographic baryons
• Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory
• Skyrmions with holography and hidden local symmetry
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• On the Baryonic Density and Susceptibilities in a Holographic Model of QCD