Rotating Dirac fermions in a magnetic field in and dimensions
Abstract
We consider the effects of an external magnetic field on rotating fermions in 1 + 2 and 1 + 3 dimensions. The dual effect of a rotation parallel to the magnetic field causes a net increase in the fermionic density by centrifugation, which follows from the sinking of the particle lowest Landau level in the Dirac sea for free Dirac fermions. In 1 + d = 2n dimensions, this effect is related to the chiral magnetic effect in 2n – 2 dimensions. This phenomenon is discussed specifically for both weak and strong interfermion interactions in 1 + 2 dimensions. For QCD in 1 + 3 dimensions with Dirac quarks, we show that in the strongly coupled phase with spontaneously broken chiral symmetry, this mechanism reveals itself in the form of an induced pion condensation by centrifugation. We use this observation to show that this effect causes a shift in the chiral condensate at leading order in the pion interaction, and to discuss the possibility for the formation of a novel pion superfluid phase in off-central heavy-ion collisions at collider energies.
- Authors:
- Publication Date:
- Research Org.:
- The State Univ. of New York, Stony Brook, NY (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1460032
- Alternate Identifier(s):
- OSTI ID: 1510992
- Grant/Contract Number:
- FG02-88ER40388
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Liu, Yizhuang, and Zahed, Ismail. Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.014017.
Liu, Yizhuang, & Zahed, Ismail. Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions. United States. https://doi.org/10.1103/PhysRevD.98.014017
Liu, Yizhuang, and Zahed, Ismail. Thu .
"Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions". United States. https://doi.org/10.1103/PhysRevD.98.014017.
@article{osti_1460032,
title = {Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions},
author = {Liu, Yizhuang and Zahed, Ismail},
abstractNote = {We consider the effects of an external magnetic field on rotating fermions in 1 + 2 and 1 + 3 dimensions. The dual effect of a rotation parallel to the magnetic field causes a net increase in the fermionic density by centrifugation, which follows from the sinking of the particle lowest Landau level in the Dirac sea for free Dirac fermions. In 1 + d = 2n dimensions, this effect is related to the chiral magnetic effect in 2n – 2 dimensions. This phenomenon is discussed specifically for both weak and strong interfermion interactions in 1 + 2 dimensions. For QCD in 1 + 3 dimensions with Dirac quarks, we show that in the strongly coupled phase with spontaneously broken chiral symmetry, this mechanism reveals itself in the form of an induced pion condensation by centrifugation. We use this observation to show that this effect causes a shift in the chiral condensate at leading order in the pion interaction, and to discuss the possibility for the formation of a novel pion superfluid phase in off-central heavy-ion collisions at collider energies.},
doi = {10.1103/PhysRevD.98.014017},
journal = {Physical Review D},
number = 1,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}
https://doi.org/10.1103/PhysRevD.98.014017
Works referenced in this record:
Pairing Phase Transitions of Matter under Rotation
journal, November 2016
- Jiang, Yin; Liao, Jinfeng
- Physical Review Letters, Vol. 117, Issue 19
Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report
journal, May 2016
- Kharzeev, D. E.; Liao, J.; Voloshin, S. A.
- Progress in Particle and Nuclear Physics, Vol. 88
Macroscopic parity-violating effects: Neutrino fluxes from rotating black holes and in rotating thermal radiation
journal, October 1979
- Vilenkin, Alexander
- Physical Review D, Vol. 20, Issue 8
Dynamical mass generation in 3D four-fermion theory
journal, December 1989
- Semenoff, G. W.; Wijewardhana, L. C. R.
- Physical Review Letters, Vol. 63, Issue 24
Chiral density waves in quark matter within the Nambu–Jona-Lasinio model in an external magnetic field
journal, October 2010
- Frolov, I. E.; Zhukovsky, V. Ch.; Klimenko, K. G.
- Physical Review D, Vol. 82, Issue 7
Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
journal, May 2017
- Chernodub, M. N.; Gongyo, Shinya
- Physical Review D, Vol. 95, Issue 9
Charge Redistribution from Anomalous Magnetovorticity Coupling
journal, October 2016
- Hattori, Koichi; Yin, Yi
- Physical Review Letters, Vol. 117, Issue 15
QCD quark condensate in external magnetic fields
journal, October 2012
- Bali, G. S.; Bruckmann, F.; Endrődi, G.
- Physical Review D, Vol. 86, Issue 7
Novel Lifshitz point for chiral transition in the magnetic field
journal, April 2015
- Tatsumi, Toshitaka; Nishiyama, Kazuya; Karasawa, Shintaro
- Physics Letters B, Vol. 743
Chiral symmetry breaking in a uniform external magnetic field. II. Symmetry restoration at high temperatures and chemical potentials
journal, April 1998
- Lee, D. -S.; Leung, C. N.; Ng, Y. J.
- Physical Review D, Vol. 57, Issue 8
Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
journal, January 2017
- Chernodub, M. N.; Gongyo, Shinya
- Journal of High Energy Physics, Vol. 2017, Issue 1
Chiral Disorder in QCD
journal, July 1998
- Janik, Romuald A.; Nowak, Maciej A.; Papp, Gábor
- Physical Review Letters, Vol. 81, Issue 2
Quark condensate in a magnetic field
journal, June 1997
- Shushpanov, I. A.; Smilga, A. V.
- Physics Letters B, Vol. 402, Issue 3-4
Dynamical flavor symmetry breaking by a magnetic field in 2+1 dimensions
journal, October 1995
- Gusynin, V. P.; Miransky, V. A.; Shovkovy, I. A.
- Physical Review D, Vol. 52, Issue 8
Boundary effects and gapped dispersion in rotating fermionic matter
journal, January 2017
- Ebihara, Shu; Fukushima, Kenji; Mameda, Kazuya
- Physics Letters B, Vol. 764
Edge states and thermodynamics of rotating relativistic fermions under magnetic field
journal, November 2017
- Chernodub, M. N.; Gongyo, Shinya
- Physical Review D, Vol. 96, Issue 9
Surface magnetic catalysis
journal, September 2017
- Chen, Hao-Lei; Fukushima, Kenji; Huang, Xu-Guang
- Physical Review D, Vol. 96, Issue 5
Chiral Disorder and Random Matrix Theory with Magnetism
journal, January 2016
- Nowak, M. A.; Sadzikowski, M.; Zahed, I.
- Acta Physica Polonica B, Vol. 47, Issue 9
Dissipationless Hall current in dense quark matter in a magnetic field
journal, June 2017
- Ferrer, E. J.; de la Incera, V.
- Physics Letters B, Vol. 769
Analogy between rotation and density for Dirac fermions in a magnetic field
journal, May 2016
- Chen, Hao-Lei; Fukushima, Kenji; Huang, Xu-Guang
- Physical Review D, Vol. 93, Issue 10
Anomalous effects of dense matter under rotation
journal, February 2018
- Huang, Xu-Guang; Nishimura, Kentaro; Yamamoto, Naoki
- Journal of High Energy Physics, Vol. 2018, Issue 2
Vorticity in heavy-ion collisions
journal, June 2016
- Deng, Wei-Tian; Huang, Xu-Guang
- Physical Review C, Vol. 93, Issue 6
Erratum: Rotating quark-gluon plasma in relativistic heavy-ion collisions [Phys. Rev. C 94 , 044910 (2016)]
journal, April 2017
- Jiang, Yin; Lin, Zi-Wei; Liao, Jinfeng
- Physical Review C, Vol. 95, Issue 4
Fluctuations as a test of chemical nonequilibrium at energies available at the CERN Large Hadron Collider
journal, November 2016
- Begun, Viktor
- Physical Review C, Vol. 94, Issue 5
Equilibrium parity-violating current in a magnetic field
journal, December 1980
- Vilenkin, Alexander
- Physical Review D, Vol. 22, Issue 12
Magnetic catalysis of a finite-size pion condensate
journal, January 2017
- Ayala, Alejandro; Mercado, Pedro; Villavicencio, C.
- Physical Review C, Vol. 95, Issue 1
Rotating quark-gluon plasma in relativistic heavy-ion collisions
journal, October 2016
- Jiang, Yin; Lin, Zi-Wei; Liao, Jinfeng
- Physical Review C, Vol. 94, Issue 4
Chiral pumping effect induced by rotating electric fields
journal, April 2016
- Ebihara, Shu; Fukushima, Kenji; Oka, Takashi
- Physical Review B, Vol. 93, Issue 15
Angular momentum conservation in heavy ion collisions at very high energy
journal, February 2008
- Becattini, F.; Piccinini, F.; Rizzo, J.
- Physical Review C, Vol. 77, Issue 2
Pion Condensation by Rotation in a Magnetic Field
journal, January 2018
- Liu, Yizhuang; Zahed, Ismail
- Physical Review Letters, Vol. 120, Issue 3
Axion electrodynamics and nonrelativistic photons in nuclear and quark matter
journal, April 2016
- Yamamoto, Naoki
- Physical Review D, Vol. 93, Issue 8
Novel topological effects in dense QCD in a magnetic field
journal, June 2018
- Ferrer, E. J.; de la Incera, V.
- Nuclear Physics B, Vol. 931
Works referencing / citing this record:
Topological and noninertial effects in an Aharonov–Bohm ring
journal, September 2019
- Oliveira, R. R. S.
- General Relativity and Gravitation, Vol. 51, Issue 9
Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect
journal, August 2019
- Oliveira, R. R. S.
- The European Physical Journal C, Vol. 79, Issue 9