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Skyrmions, Quantum Hall Droplets, and one current to rule them all
by Avner Karasik
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Avner Karasik |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2003.07893v3 (pdf) |
| Date accepted: | 2020-07-03 |
| Date submitted: | 2020-06-30 02:00 |
| Submitted by: | Karasik, Avner |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We introduce a novel Skyrme-like conserved current in the effective theory of pions and vector mesons based on the idea of hidden local symmetry. The associated charge is equivalent to the skyrmion charge for any smooth configuration. In addition, there exist singular configurations that can be identified as N_f=1 baryons charged under the new symmetry. Under this identification, the vector mesons play the role of the Chern-Simons vector fields living on the quantum Hall droplet that forms the N_f=1 baryon. We propose that this current is the correct effective expression for the baryon current at low energies. This proposal gives a unified picture for the two types of baryons and allows them to continuously transform one to the other in a natural way. In addition, Chern-Simons dualities on the droplet can be interpreted as a result of Seiberg-like duality between gluons and vector mesons.
List of changes
1) Section (6.3): Improved the explanation of the "pita" including a reference to a figure.
2) Typo corrected: Before equation 2.16 "U nder" -> "Under".
3) Before eq (2.18): Referred to a specific place for a detailed explanation about the Lorentz invariant boundary conditions
Published as SciPost Phys. 9, 008 (2020)