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On Magnetostatics of Chiral Media
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abstract
We consider magnetostatics of chiral media with a non-vanishing chiral chemical potential $\mu_5\neq 0$. The chiral anomaly is known to have macroscopic manifestations which go beyond the standard classical electrodynamics and we introduce an effective action which accounts for the effect of the anomaly. A new piece in the effective action takes the form of a topological three-dimensional photon mass. The topological mass of the photon turns to be imaginary and signals instability. A stable state corresponds to a solution of the Beltrami equations. We demonstrate also that the interaction between two current loops reduces to the linking number of the loops. As for the chiral magnetic effect it seems to disappear in the far infrared.
Forward citations
Cited by 3 Pith papers
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A generalized McLerran-Toimela formula expresses the photon emission-absorption balance in a rotating plasma through the photon polarization tensor, yielding a one-loop soft-photon enhancement and superradiance for mo...
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Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly
The axial anomaly implies a gapless chiral density wave that makes massless-fermion systems behave as quantum superfluids, exactly in D=2 and conditionally in D=4.
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Scattering Amplitudes and Resonant Processes in QED with Chiral Chemical Potential and Chiral Magnetic Conductivity
QED scattering amplitudes in a chiral medium with constant μ5 and b0 exhibit resonant behavior in multiple processes, with computed rates for 1→2 processes determining widths of fermion and photon states.
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