Quark-hadron continuity beyond Ginzburg-Landau paradigm

Understand

Quark-hadron continuity is a scenario that hadronic matter is continuously connected to color superconductor without phase transitions as the baryon chemical potential increases.

• This scenario is based on Landau's classification of phases since they have the same symmetry breaking pattern.
• We address the question whether this continuity is true as quantum phases of matter, which requires the treatment beyond Ginzburg-Landau description.
• To examine the topological nature of color superconductor, we derive a dual effective theory for $U(1)$ Nambu-Goldstone (NG) bosons and vortices of the color-flavor locked phase, and discuss the fate of emergent higher-form symmetries.