Quark mass and condensate in HQCD

Abstract

We extend the Sakai-Sugimoto holographic model of QCD (HQCD) by including the scalar bi-fundamental "tachyon" field in the 8-brane-anti-8-brane probe theory. We show that this field is responsible both for the spontaneous breaking of the chiral symmetry, and for the generation of (current algebra) quark masses, from the point of view of the bulk theory. As a by-product we show how this leads to the Gell-Mann- Oakes-Renner relation for the pion mass.

23 pages, 7 figures; v2: corrected typos in eqs. (4.3), (4.4), (4.5), (4.9) and (4.11), and corrected figures 3, 4, 5 and 6; v3: section 5.3 on the pion mass rewritten in a clearer way, version published in JHEP

References in corpus (4)

• A holographic model of deconfinement and chiral symmetry restoration
• Chiral symmetry breaking as open string tachyon condensation
• Holographic melting and related properties of mesons in a quark gluon plasma
• Gauge Symmetry and Supersymmetry Breaking From Intersecting Branes

Cited by in corpus (16)

• Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking
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• Holographic Duals of Long Open Strings
• Highly Excited Mesons, Linear Regge Trajectories and the Pattern of the Chiral Symmetry Realization
• Tachyon condensation and quark mass in modified Sakai-Sugimoto model
• Glueball Decay in Holographic QCD
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Pion in the Holographic Model with 5D Yang-Mills Fields
• Comments on Baryons in Holographic QCD
• Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD
• Weak-Interacting Holographic QCD
• Inhomogeneous tachyon dynamics and the zipper
• Chiral Symmetry Breaking in Brane Models
• Holographic Dual of QCD from Black D5 Branes
• Intersecting branes and Nambu$-$Jona-Lasinio model
• Confinement and Non-perturbative Tachyons in Brane-Antibrane Systems