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arXiv · 1811.03632

Dirac fermion duality and the parity anomaly

A. A. Burkov
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Abstract

We present a derivation of the recently discovered duality between the free massless (2+1)-dimensional Dirac fermion and QED$_3$. Our derivation is based on a regularized lattice model of the Dirac fermion and is similar to the more familiar derivation of the boson-vortex duality. It also highlights the important role played by the parity anomaly, which is somewhat less obvious in other discussions of this duality in the literature.

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A. A. Burkov. 2018-11-16. Dirac fermion duality and the parity anomaly. https://doi.org/10.1103/physrevb.99.035124

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