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 (2)

• Chiral symmetry breaking as open string tachyon condensation
• Gauge Symmetry and Supersymmetry Breaking From Intersecting Branes

Cited by in corpus (6)

• Dynamical Soft-Wall AdS/QCD
• 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
• Chiral Symmetry Breaking in Brane Models