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Free keywords:
High Energy Physics - Phenomenology, hep-ph,High Energy Physics - Theory, hep-th
Abstract:
Finite isospin chemical potential $\mu_I$ and temperature $T$ have been
introduced in the framework of soft-wall AdS/QCD model. By self-consistently
solve the equation of motion, we obtain the phase boundary of pion condensation
phase, across which the system undergoes a phase transition between pion
condensation phase and normal phase. Comparing the free energy of solutions
with and without pion condensation, we find that the phase transition is of
first order type both at large $\mu_I$ and small $\mu_I$. Qualitatively, the
behavior at large $\mu_I$ is in agreement with the lattice simulation in
Phys.Rev.D66(2002)034505, while the behavior at small $\mu_I$ is different from
lattice simulations and previous studies in hard wall AdS/QCD model. This
indicates that a full back-reaction model including the interaction of
gluo-dynamics and chiral dynamics might be necessary to describe the small
$\mu_I$ pion condensation phase. This study could provide certain clues to
build a more realistic holographic model.
