Rotating Dense Quark Matter and Anomaly Inflow

Abstract

The effective theory of rotating pion superfluid in the presence of domain-walls and vortices is considered. We study the anomaly induced effects and the interplay between domain-wall and superfluid vortex under rotation. The effective theory predicts an anomaly inflow for nonuniform rotation. The microscopic picture which consists of fermionic zero modes propagating along the vortices, will be used to justify the chiral effective theory results and explaining other phenomena such as the cross-correlation between rotation and magnetic field. Then using gravitoelectromagnetic formalism the radial energy flow is obtained from another point of view. Finally we consider the (1 + 1)-dimensional gravitational anomaly and the resulting thermal current flow on the domain-wall.