Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality
Abstract
Here, we show that the recent proposal to describe the $$N_f$$ = 1 baryon in the large number of the 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 disk enclosed by the smile is described by a topological field theory due to the Callan-Harvey anomaly outflow. The chiral bag naturally carries the unit baryon number and spin $$\frac{1}{2}N_c$$. The generalization to arbitrary $$N_f$$ is discussed
- Publication Date:
- Research Org.:
- State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); National Science Centre of Poland (NCN)
- OSTI Identifier:
- 1571531
- Alternate Identifier(s):
- OSTI ID: 1800702
- Grant/Contract Number:
- FG-88ER40388; FG02-88ER40388; 11875147; 11475071; UMO-2017/27/B/ST2/01139
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 17; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics
Citation Formats
Ma, Yong-Liang, Nowak, Maciej A., Rho, Mannque, and Zahed, Ismail. Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.172301.
Ma, Yong-Liang, Nowak, Maciej A., Rho, Mannque, & Zahed, Ismail. Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality. United States. https://doi.org/10.1103/PhysRevLett.123.172301
Ma, Yong-Liang, Nowak, Maciej A., Rho, Mannque, and Zahed, Ismail. Tue .
"Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality". United States. https://doi.org/10.1103/PhysRevLett.123.172301.
@article{osti_1571531,
title = {Baryon as a Quantum Hall Droplet and the Quark-Hadron Duality},
author = {Ma, Yong-Liang and Nowak, Maciej A. and Rho, Mannque and Zahed, Ismail},
abstractNote = {Here, we show that the recent proposal to describe the $N_f$ = 1 baryon in the large number of the 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 disk enclosed by the smile is described by a topological field theory due to the Callan-Harvey anomaly outflow. The chiral bag naturally carries the unit baryon number and spin $\frac{1}{2}N_c$. The generalization to arbitrary $N_f$ is discussed},
doi = {10.1103/PhysRevLett.123.172301},
journal = {Physical Review Letters},
number = 17,
volume = 123,
place = {United States},
year = {Tue Oct 22 00:00:00 EDT 2019},
month = {Tue Oct 22 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevLett.123.172301
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Works referenced in this record:
Axion quark nugget dark matter model: Size distribution and survival pattern
journal, June 2019
- Ge, Shuailiang; Lawson, Kyle; Zhitnitsky, Ariel
- Physical Review D, Vol. 99, Issue 11
Anomalies and fermion zero modes on strings and domain walls
journal, January 1985
- Callan, C. G.; Harvey, J. A.
- Nuclear Physics B, Vol. 250, Issue 1-4
The inhomogeneous phase of dense skyrmion matter
journal, September 2019
- Park, Byung-Yoon; Paeng, Won-Gi; Vento, Vicente
- Nuclear Physics A, Vol. 989
Non-abelian Cheshire cat bag models in 1+1 dimensions
journal, January 1986
- Nadkarni, Sudhir; Zahed, Ismaïl
- Nuclear Physics B, Vol. 263, Issue 1
Baryon Number in Chiral Bag Models
journal, October 1983
- Goldstone, J.; Jaffe, R. L.
- Physical Review Letters, Vol. 51, Issue 17
Anomalous baryon number in 1+1 dimensions
journal, November 1984
- Zahed, Ismail
- Physical Review D, Vol. 30, Issue 10
Color anomaly in a hybrid bag model
journal, October 1991
- Nielsen, H. B.; Rho, M.; Wirzba, A.
- Physics Letters B, Vol. 269, Issue 3-4
Level/rank duality and Chern-Simons-matter theories
journal, September 2016
- Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2016, Issue 9
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions
journal, January 2018
- Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2018, Issue 1
A non-linear field theory
journal, February 1961
- Skyrme, T. H. R.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 260, Issue 1300, p. 127-138
Quantum Hall effect in a holographic model
journal, October 2010
- Bergman, Oren; Jokela, Niko; Lifschytz, Gilad
- Journal of High Energy Physics, Vol. 2010, Issue 10
The tale of the η′ from the Cheshire cat principle
journal, May 1992
- Nielsen, H. B.; Rho, M.; Wirzba, A.
- Physics Letters B, Vol. 281, Issue 3-4
A planar diagram theory for strong interactions
journal, April 1974
- Hooft, G. 't
- Nuclear Physics B, Vol. 72, Issue 3
Fermion number fractionization in quantum field theory
journal, April 1986
- Niemi, A. J.; Semenoff, G. W.
- Physics Reports, Vol. 135, Issue 3
Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times
journal, December 1983
- Niemi, A. J.; Semenoff, G. W.
- Physical Review Letters, Vol. 51, Issue 23
Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions
journal, January 1984
- Redlich, A. N.
- Physical Review Letters, Vol. 52, Issue 1
Bosonization relations as bag boundary conditions
journal, January 1985
- Nadkarni, Sudhir; Nielsen, H. B.; Zahed, Ismaïl
- Nuclear Physics B, Vol. 253
Confinement in the Bulk, Deconfinement on the Wall: Infrared Equivalence between Compactified QCD and Quantum Magnets
journal, September 2017
- Sulejmanpasic, Tin; Shao, Hui; Sandvik, Anders W.
- Physical Review Letters, Vol. 119, Issue 9
The Skyrme model
journal, September 1986
- Zahed, I.; Brown, G. E.
- Physics Reports, Vol. 142, Issue 1-2
Chiral dynamics of baryons from string theory
journal, September 2007
- Hong, Deog Ki; Rho, Mannque; Yee, Ho-Ung
- Physical Review D, Vol. 76, Issue 6
Baryons from Instantons in Holographic QCD
journal, June 2007
- Hata, H.; Sakai, T.; Sugimoto, S.
- Progress of Theoretical Physics, Vol. 117, Issue 6