Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds

Abstract

D-branes with a U-shaped geometry, like the D8 flavor branes in the Sakai-Sugimoto model of QCD, are encountered frequently in holographic backgrounds. We argue that the commonly used DBI action is inadequate as an effective field theory description of these branes, because it misses a crucial component of the low-energy dynamics: a light complex scalar mode. Following an idea of Erkal, Kutasov and Lunin we elaborate on an effective description based on the abelian tachyon-DBI action which incorporates naturally the non-local physics of the complex scalar mode. We demonstrate its power in a context where an explicit worldsheet description of the open string dynamics exists --hairpin-branes in the background of NS5-branes. Our results are relevant for the holographic description of chiral symmetry breaking and bare quark mass in QCD and open string tachyon condensation in curved backgrounds.

47 pages, 8 figures, 3 appendices; v2 comments added on the modification of the tachyon potential in Sec. 4 to match the published NPB version. v2 also contains a new appendix (the appendix C that does not appear in the NPB version) with further supporting numerical evidence on the validity of our picture at generic k

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• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• Flavor Corrections in the Static Potential in Holographic QCD
• Holographic QCD predictions for production and decay of pseudoscalar glueballs
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Spin-1 Glueballs in the Witten-Sakai-Sugimoto Model
• Glueball Decay in the Witten-Sakai-Sugimoto Model and Finite Quark Masses
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field