Abstract
We analyze the combined effects of hydrodynamic fluctuations and chiral magnetic effect (CME) for a chiral medium in the presence of a background magnetic field. Based on the recently developed non-equilibrium effective field theory, we show fluctuations give rise to a CME-related positive contribution to magnetoresistance, while the early studies without accounting for the fluctuations find a CME-related negative magnetoresistance. At zero axial relaxation rate, the fluctuations contribute to the transverse conductivity in addition to the longitudinal one.
Highlights
Steady state in the presence of electric field E, the axial charge density nA ∝ CE · B/r, where r denotes the axial charge relaxation rate and C is the anomaly coefficient
We presented in this paper the diagrammatic calculation of the modifications of conductivity for a chiral medium with the chiral magnetic effect (CME) based on the non-equilibrium effective field theory (EFT) approach
We obtain the CME-related modifications to the conductivity tensors due to fluctuations for systems with finite and vanishing axial relaxation rate r, as summarized in eq (3.43) and eq (4.22), respectively
Summary
Steady state in the presence of electric field E, the axial charge density nA ∝ CE · B/r, where r denotes the axial charge relaxation rate and C is the anomaly coefficient. Compared with the traditional methods, the EFTs are derived based on the symmetries and action principle and provide a basis for the systematic analysis In some situations, such as the one considered in ref. R = 0 and r = 0, we determine specific corrections to the conductivity due to the combined effects of the CME and fluctuations in the small B regime (see eq (3.43) and eq (4.22), respectively).
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