Chiral Vortical Effect in Superfluid

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

We consider rotating superfluid pionic liquid, with superfluidity being induced by isospin chemical potential. The rotation is known to result in a chiral current flowing along the axis of the rotation. We argue that in case of superfluidity the chiral current is realized on fermionic zero modes propagating along vortices. The current evaluated in this way differs by a factor of two from the standard one. The reason is that the chiral charge is carried by zero modes which propagate with speed of light, and the liquid is rather two-component. The standard derivations, on the other hand, assume that the liquid is described in terms of a single (local) velocity.

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