Holographic Mean-Field Theory for Baryon Many-Body Systems
arXiv:1112.2114 · doi:10.1103/PhysRevD.86.021901
Abstract
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. Our approach provides a new framework of gauge/gravity duality for finite-density systems of baryons in the confinement phase.
4 pages, 2 figures, v3 published version
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- Equation of state in the pion condensation phase in the asymmetric nuclear matter using a holographic QCD model
- Parity doubling structure of nucleon at non-zero density in the holographic mean field theory