Abstract

We show that the normal phase of dense relativistic matter in a magnetic field is characterized by a nonzero relative shift of the longitudinal momenta in the dispersion relations of the left‐handed and right‐handed fermions. The presence of such a shift in the ground state does not break any symmetries of the action. To leading order, the corresponding parameter, dubbed the chiral shift, is linear in the coupling constant. Because of the chiral shift, a dynamical contribution to the axial current is induced. The induced axial current and the shift of the Fermi surfaces of the opposite chirality fermions are expected to play an important role in transport and emission properties of matter in various types of compact stars as well as in heavy ion collisions.

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