Masayasu Harada, Shin Nakamura, Shinpei Takemoto
We propose a mean-field approach to analyze many-body systems of fermions in the gauge/gravity duality. We introduce a non-vanishing classical fermionic field in the gravity dual, which we call the holographic mean field for fermions. The holographic mean field takes account of the many-body dynamics of the fermions in the bulk. The regularity condition of the holographic mean field fixes the relationship between the chemical potential and the density unambiguously. This enables us to analyze finite-density systems of baryons in the confinement phase.
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http://arxiv.org/abs/1112.2114
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