Abstract
We construct a class of bottom-up holographic models with physics comparable to the one expected from QCD in the Veneziano limit of large N f and N c with fixed \( x = \frac{{{N_f}}}{{{N_c}}} \) The models capture the holographic dynamics of the dilaton (dual to the YM coupling) and a tachyon (dual to the chiral condensate), and are parametrized by the real parameter x, which can take values within the range \( 0 \leqslant x < \frac{{{11}}}{{2}} \). We analyze the saddle point solutions, and draw the phase diagram at zero temperature and density. The back-reaction of flavor on the glue is fully included. We find the conformal window for x ≥ x c, and the QCD-like phase with chiral symmetry breaking at x < x c, where the critical value x c lies close to four. We also find Miransky scaling as x → x c as well as Efimov-like saddle points. By calculating the holographic β-functions, we demonstrate the “walking” behavior of the coupling in the region near and below x c.
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Järvinen, M., Kiritsis, E. Holographic models for QCD in the Veneziano limit. J. High Energ. Phys. 2012, 2 (2012). https://doi.org/10.1007/JHEP03(2012)002
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DOI: https://doi.org/10.1007/JHEP03(2012)002