Holographic Mean-Field Theory for Baryon Many-Body Systems
High Energy Physics - Theory
2015-06-03 v3 High Energy Physics - Phenomenology
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.1112.2114,
title = {Holographic Mean-Field Theory for Baryon Many-Body Systems},
author = {Masayasu Harada and Shin Nakamura and Shinpei Takemoto},
journal= {arXiv preprint arXiv:1112.2114},
year = {2015}
}
Comments
4 pages, 2 figures, v3 published version