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arXiv · 1907.00958

Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle

Yong-Liang Ma·Maciej A. Nowak·Mannque Rho·Ismail Zahed
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Abstract

We show that the recent proposal to describe the $N_f=1$ baryon in the large number of color limit as a quantum Hall droplet, can be understood as a chiral bag in a 1+2 dimensional strip using the Cheshire cat principle. For a small bag radius, the bag reduces to a vortex line which is the smile of the cat with flowing gapless quarks all spinning in the same direction. The disc enclosed by the smile is described by a topological field theory due to the Callan-Harvey anomaly out-flow. The chiral bag carries naturally unit baryon number and spin $\frac 12 N_c$. The generalization to arbitrary $N_f$ is discussed.

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Yong-Liang Ma, Maciej A. Nowak, Mannque Rho, Ismail Zahed. 2019-07-01. Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle. https://doi.org/10.1103/physrevlett.123.172301

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