# Chiral vortices and pseudoscalar condensation due to rotation

## TL;DR

This paper explores how rapid rotation induces chiral vortex states with pion condensation in strongly interacting matter, revealing a novel mechanism for pseudoscalar condensation in finite-size systems.

## Contribution

It develops a self-consistent theoretical framework to study inhomogeneous chiral condensates and identifies rotation-induced chiral vortex states with pion condensation.

## Key findings

- Rapid rotation can lead to chiral vortex states in 2+1 dimensions.
- Chiral vortex states exhibit pion condensation as a topological defect.
- Rotation influences chiral symmetry breaking in finite-size strongly interacting matter.

## Abstract

We investigate the influence of rotation on the dynamical chiral symmetry breaking in strongly interacting matter. We develop a self-consistent Bogoliubov-de Gennes-like theoretical framework to study the inhomogeneous chiral condensate and the possible chiral vortex state in rotating finite-size matter in four-fermion interacting theories. We show that for sufficiently rapid rotation in $2+1$ dimensions, the ground state can be a chiral vortex state, a type of topological defect in analogy to superfluids and superconductors. The vortex state exhibits pion condensation, providing a new mechanism to realize pseudoscalar condensation in strongly interacting matter.