# Phases of Flavor Broken QCD$_3$

## TL;DR

This paper explores the phase diagram of three-dimensional QCD with a product flavor group, revealing complex phase transitions and the emergence or disappearance of Grassmannian phases depending on flavor and level parameters.

## Contribution

It provides a detailed mapping of the phase structure of QCD$_3$ with a product flavor group, highlighting novel phase transition phenomena.

## Key findings

- Identification of phase transitions involving Grassmannian phases
- Dependence of phase structure on flavor group sizes and level k
- Discovery of phases disappearing and reappearing in the diagram

## Abstract

We map out the phase diagram of QCD$_3$ with a product flavor group of the form $U(f)\times U(F)$. We find interesting structures emerge when $f+F>k$ depending on the relative sizes of $f$,$F$ and $k$. In particular, there exists phase transitions in which a Grassmannian phase will disappear and reappear in a different part of the phase diagram.