Inhomogeneous chiral condensation under rotation in the holographic QCD

TL;DR

This paper explores how rotation, boundary conditions, and finite size influence inhomogeneous chiral condensation in holographic QCD, revealing effects like rotational suppression and boundary-dependent catalysis or inverse catalysis.

Contribution

It provides a detailed holographic analysis of inhomogeneous chiral condensation under rotation, including finite size effects and boundary conditions, which was not previously studied.

Findings

Rotational suppression of chiral condensation confirmed in holographic model.

Finite size effects cause catalysis or inverse catalysis depending on boundary conditions.

Critical temperature decreases with increasing angular velocity.

Abstract

We investigate inhomogeneous chiral condensation under rotation considering finite size effects and boundary conditions in the holographic QCD model. The rotational suppression effect determined by $\Omega r$ is confirmed in the holographic model which is not influenced by the boundary conditions. For chiral condensation at the center, it is found that under Neumann boundary condition the finite size exhibits two opposite effects, i.e., catalysis at high temperatures and inverse catalysis at low temperatures. In contrast, under Dirichlet boundary condition, the effect of finite size on condensation is inverse catalysis, and small size induces a phase transition from inhomogeneous to homogeneous phase. The temperature-angular velocity phase diagrams of QCD are obtained for different boundary conditions and sizes, and it is found that the critical temperature decreases with angular velocity.