Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions

doi:10.1103/PhysRevD.98.014017

Title: Rotating Dirac fermions in a magnetic field in $1 + 2$ and $1 + 3$ 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:: Liu, Yizhuang; Zahed, Ismail

Publication Date:: 2018-07-12

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.

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                    Liu, Yizhuang, & Zahed, Ismail. Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions.  United States.  doi:https://doi.org/10.1103/PhysRevD.98.014017

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                    Liu, Yizhuang, and Zahed, Ismail. Thu .  
        "Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions".  United States.  doi:https://doi.org/10.1103/PhysRevD.98.014017.

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@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}

}

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Works referenced in this record:

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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
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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
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Similar Records

Title: Rotating Dirac fermions in a magnetic field in 1 + 2 and 1 + 3 dimensions

Abstract

Citation Formats

Pairing Phase Transitions of Matter under Rotation journal, November 2016

Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report journal, May 2016

Macroscopic parity-violating effects: Neutrino fluxes from rotating black holes and in rotating thermal radiation journal, October 1979

Dynamical mass generation in 3D four-fermion theory journal, December 1989

Chiral density waves in quark matter within the Nambu–Jona-Lasinio model in an external magnetic field journal, October 2010

Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions journal, May 2017

Charge Redistribution from Anomalous Magnetovorticity Coupling journal, October 2016

QCD quark condensate in external magnetic fields journal, October 2012

Novel Lifshitz point for chiral transition in the magnetic field journal, April 2015

Chiral symmetry breaking in a uniform external magnetic field. II. Symmetry restoration at high temperatures and chemical potentials journal, April 1998

Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics journal, January 2017

Chiral Disorder in QCD journal, July 1998

Quark condensate in a magnetic field journal, June 1997

Dynamical flavor symmetry breaking by a magnetic field in 2+1 dimensions journal, October 1995

Boundary effects and gapped dispersion in rotating fermionic matter journal, January 2017

Edge states and thermodynamics of rotating relativistic fermions under magnetic field journal, November 2017

Surface magnetic catalysis journal, September 2017

Chiral Disorder and Random Matrix Theory with Magnetism journal, January 2016

Dissipationless Hall current in dense quark matter in a magnetic field journal, June 2017

Analogy between rotation and density for Dirac fermions in a magnetic field journal, May 2016

Anomalous effects of dense matter under rotation journal, February 2018

Vorticity in heavy-ion collisions journal, June 2016

Erratum: Rotating quark-gluon plasma in relativistic heavy-ion collisions [Phys. Rev. C 94 , 044910 (2016)] journal, April 2017

Fluctuations as a test of chemical nonequilibrium at energies available at the CERN Large Hadron Collider journal, November 2016

Equilibrium parity-violating current in a magnetic field journal, December 1980

Magnetic catalysis of a finite-size pion condensate journal, January 2017

Rotating quark-gluon plasma in relativistic heavy-ion collisions journal, October 2016

Chiral pumping effect induced by rotating electric fields journal, April 2016

Angular momentum conservation in heavy ion collisions at very high energy journal, February 2008

Pion Condensation by Rotation in a Magnetic Field journal, January 2018

Axion electrodynamics and nonrelativistic photons in nuclear and quark matter journal, April 2016

Novel topological effects in dense QCD in a magnetic field journal, June 2018

Topological and noninertial effects in an Aharonov–Bohm ring journal, September 2019

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect journal, August 2019

Title: Rotating Dirac fermions in a magnetic field in $1 + 2$ and $1 + 3$ dimensions

Pairing Phase Transitions of Matter under Rotation
journal, November 2016

Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report
journal, May 2016

Macroscopic parity-violating effects: Neutrino fluxes from rotating black holes and in rotating thermal radiation
journal, October 1979

Dynamical mass generation in 3D four-fermion theory
journal, December 1989

Chiral density waves in quark matter within the Nambu–Jona-Lasinio model in an external magnetic field
journal, October 2010

Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
journal, May 2017

Charge Redistribution from Anomalous Magnetovorticity Coupling
journal, October 2016

QCD quark condensate in external magnetic fields
journal, October 2012

Novel Lifshitz point for chiral transition in the magnetic field
journal, April 2015

Chiral symmetry breaking in a uniform external magnetic field. II. Symmetry restoration at high temperatures and chemical potentials
journal, April 1998

Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
journal, January 2017

Chiral Disorder in QCD
journal, July 1998

Quark condensate in a magnetic field
journal, June 1997

Dynamical flavor symmetry breaking by a magnetic field in 2+1 dimensions
journal, October 1995

Boundary effects and gapped dispersion in rotating fermionic matter
journal, January 2017

Edge states and thermodynamics of rotating relativistic fermions under magnetic field
journal, November 2017

Surface magnetic catalysis
journal, September 2017

Chiral Disorder and Random Matrix Theory with Magnetism
journal, January 2016

Dissipationless Hall current in dense quark matter in a magnetic field
journal, June 2017

Analogy between rotation and density for Dirac fermions in a magnetic field
journal, May 2016

Anomalous effects of dense matter under rotation
journal, February 2018

Vorticity in heavy-ion collisions
journal, June 2016

Erratum: Rotating quark-gluon plasma in relativistic heavy-ion collisions [Phys. Rev. C 94 , 044910 (2016)]
journal, April 2017

Fluctuations as a test of chemical nonequilibrium at energies available at the CERN Large Hadron Collider
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Equilibrium parity-violating current in a magnetic field
journal, December 1980

Magnetic catalysis of a finite-size pion condensate
journal, January 2017

Rotating quark-gluon plasma in relativistic heavy-ion collisions
journal, October 2016

Chiral pumping effect induced by rotating electric fields
journal, April 2016

Angular momentum conservation in heavy ion collisions at very high energy
journal, February 2008

Pion Condensation by Rotation in a Magnetic Field
journal, January 2018

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journal, April 2016

Novel topological effects in dense QCD in a magnetic field
journal, June 2018

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