Holographic Mean-Field Theory for Baryon Many-Body Systems

TL;DR

This paper introduces a holographic mean-field approach within gauge/gravity duality to analyze many-body fermionic systems at finite density, providing a new framework for baryonic matter in the confinement phase.

Contribution

It develops a novel holographic mean-field theory incorporating a classical fermionic field, enabling analysis of baryon many-body systems in the gauge/gravity duality context.

Findings

Fixes the chemical potential-density relationship via regularity conditions.

Provides a new framework for finite-density baryonic systems in confinement phase.

Introduces a classical fermionic field as a holographic mean field.

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.