Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

Details Rho meson condensation at finite isospin chemical potential in a holographic model for QCD Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

2007-09-25

arxiv.org/abs/0709.3948v3

JHEP 0802:071,2008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 7 figures; v2: references added, minor corrections; v3: added footnote about other possible condensate

Scientific paper

10.1088/1126-6708/2008/02/071

We analyze the effect of an isospin chemical potential \mu_I in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large N_c 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 \mu_I = \mu_{crit} ~ 1.7 m_{\rho}, the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for \mu_I > \mu_{crit}. This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for \mu_I > \mu_{crit}.

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