Localized Backreacted Flavor Branes in Holographic QCD

Details Localized Backreacted Flavor Branes in Holographic QCD Localized Backreacted Flavor Branes in Holographic QCD

2007-08-09

arxiv.org/abs/0708.1234v3

JHEP0802:001,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+48 pages (7 figures) + 15 pages, citations added & minor corrections

Scientific paper

10.1088/1126-6708/2008/02/001

We investigate the perturbative (in $g_s N_{D8}$) backreaction of localized D8 branes in D4-D8 systems including in particular the Sakai Sugimoto model. We write down the explicit expressions of the backreacted metric, dilaton and RR form. We find that the backreaction remains small up to a radial value of $u \ll \ell_s/(g_s N_{D8})$, and that the background functions are smooth except at the D8 sources. In this perturbative window, the original embedding remains a solution to the equations of motion. Furthermore, the fluctuations around the original embedding, describing scalar mesons, do not become tachyonic due to the backreaction in the perturbative regime. This is is due to a cancelation between the DBI and CS parts of the D8 brane action in the perturbed background.

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