New applications of the chiral anomaly

Details New applications of the chiral anomaly New applications of the chiral anomaly

2000-02-23

arxiv.org/abs/hep-th/0002195v2

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, LaTeX2e, AMSTeX, 1 figure; typos corrected, refernces added. To appear in "Mathematical Physics 2000", T. Kibble edi

Scientific paper

We describe consequences of the chiral anomaly in the theory of quantum wires, the (quantum) Hall effect, and of a four-dimensional cousin of the Hall effect. We explain which aspects of conductance quantization are related to the chiral anomaly. The four-dimensional analogue of the Hall effect involves the axion field, whose time derivative can be interpreted as a (space-time dependent) difference of chemical potentials of left-handed and right-handed charged fermions. Our four-dimensional analogue of the Hall effect may play a significant role in explaining the origin of large magnetic fields in the (early) universe.

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