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Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle

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 نشر من قبل Ismail Zahed
 تاريخ النشر 2019
  مجال البحث
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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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