Abstract
Quark-hadron continuity is a scenario in which hadronic matter is continuously connected to a 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 of whether this continuity is true as quantum phases of matter, which requires treatment beyond the Ginzburg-Landau description. To examine the topological nature of a 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. The theory has the form of a topological BF theory coupled to NG bosons, and fractional statistics of test quarks and vortices arise as a result of an emergent Z_{3} two-form symmetry. We find that this symmetry cannot be spontaneously broken, indicating that quark-hadron continuity is still a consistent scenario.
Highlights
The theory has the form of a topological BF theory coupled to NG bosons, and fractional statistics of test quarks and vortices arise as a result of an emergent Z3 two-form symmetry
It is proposed that nucleon superfluidity and the color-flavor locked (CFL) phases are connected with a smooth crossover, since they have the same symmetry breaking pattern: this is the quark-hadron continuity [10]
In this Letter, we carefully examine the role of topology in the CFL phase [25]
Summary
To examine the topological nature of a 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. The theory has the form of a topological BF theory coupled to NG bosons, and fractional statistics of test quarks and vortices arise as a result of an emergent Z3 two-form symmetry. It is proposed that nucleon superfluidity and the CFL phases are connected with a smooth crossover, since they have the same symmetry breaking pattern: this is the quark-hadron continuity [10].
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