Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
Abstract
We analyze the effect of an isospin chemical potential μI in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large Nc QCD, at temperatures below the chiral symmetry restoration temperature. For small chemical potentials we show that the results agree with expectations from the low-energy chiral Lagrangian, and the charged pion condenses. When the chemical potential reaches a critical value μI = μcrit ~ 1.7 m, the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for μI > μcrit. This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for μI > μcrit.
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