Abstract
We consider the system of relativistic rotating fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density. We calculate the axial current using the direct solutions of the Dirac equation with the MIT bag boundary conditions. Next, we consider the alternative way of the rotation description, in which the local velocity of the substance multiplied by the chemical potential serves as the effective gauge field. In this approach this is possible to relate the axial current of the chiral vortical effect for the massless fermions to the topological invariant in momentum space, which is robust to the introduction of interactions. We compare the results for the axial current obtained using the two above mentioned approaches.
Highlights
The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density
We consider the alternative way of the rotation description, in which the local velocity of the substance multiplied by the chemical potential serves as the effective gauge field
In this approach it is possible to relate the axial current of the chiral vortical effect for the massless fermions to the topological invariant in momentum space, which is robust to the introduction of interactions
Summary
The chiral vortical effect is the appearance of axial current in the fermionic system in the presence of rotation. The possible modifications of Eq (2) due to the finite size corrections, interactions, and finite fermion mass constitute the “anatomy of the chiral vortical effect.”. Some of those issues are discussed in the present paper. Besides following [2] we consider the alternative definition of rotation, where the four-velocity of substance multiplied by the chemical potential is considered as the effective Uð1Þ gauge field This allows us to reduce the chiral vortical effect to the chiral separation effect caused
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