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

Abstract

We consider the effects of an external magnetic field on rotating fermions in 1+2,3 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 inter-fermion 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 in leading order, and to discuss the possibility for the formation of a novel pion super-fluid phase in present heavy ion collisions at collider energies.

20 pages, 14 figures

References in corpus (10)

• Angular momentum conservation in heavy ion collisions at very high energy
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Boundary effects and gapped dispersion in rotating fermionic matter
• Anomalous effects of dense matter under rotation
• Pion Condensation by Rotation in a Magnetic field
• Novel Lifshitz point for chiral transition in the magnetic field
• Charge redistribution from anomalous magnetovorticity coupling
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• Surface Magnetic Catalysis
• Magnetic catalysis of a finite size pion condensate

Cited by in corpus (11)

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• QCD phase structure under rotation
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Topological and noninertial effects in an Aharonov-Bohm ring
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Photon radiation by relatively slowly rotating fermions in magnetic field
• De Haas - van Alphen Effect under Rotation
• Vorticity-induced effects from Wess-Zumino-Witten terms
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds