TL;DR
This paper explores how quantum measurement theory explains anisotropic electric current fluctuations in magnetic fields, linking them to the chiral magnetic effect and triangle anomaly, with implications for understanding quantum correlations.
Contribution
It introduces a quantum measurement framework to analyze anisotropic current fluctuations and connects these to the chiral magnetic effect and triangle anomaly.
Findings
Anisotropy in current fluctuations aligns with chiral magnetic effect expectations.
Decoherence functional includes anomalous off-diagonal terms.
Fluctuation correlations occur between observables of opposite P-parity.
Abstract
The effect of anisotropy for fluctuations of electric currents in magnetic field is addressed within framework of quantum measurements theory. It is shown that for free fermions in uniform magnetic field the anisotropy is of the same sign as one expects for chiral magnetic effect and is related to triangle anomaly. The corresponding decoherence functional contains anomalous off-diagonal terms leading to correlation of fluctuations between observables of opposite P-parity.
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