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We consider the effects of an external magnetic field on rotating fermions in1+2,3 dimensions. The dual effect of a rotation parallel to the magnetic fieldcauses a net increase in the fermionic density by centrifugation, which followsfrom the sinking of the particle lowest Landau level in the Dirac sea for freeDirac fermions. In 1+d = 2n dimensions, this effect is related to the chiralmagnetic effect in 2n-2 dimensions. This phenomenon is discussed specificallyfor both weak and strong inter-fermion interactions in 1+2 dimensions. For QCDin 1+3 dimensions with Dirac quarks, we show that in the strongly coupled phasewith spontaneously broken chiral symmetry, this mechanism reveals itself in theform of an induced pion condensation by centrifugation. We use this observationto show that this effect causes a shift in the chiral condensate in leadingorder, and to discuss the possibility for the formation of a novel pionsuper-fluid phase in present heavy ion collisions at collider energies.

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