Non-cancellation of the parity anomaly in the strong-field regime of QED$_{2+1}$

Robert Ott; Torsten V. Zache; Niklas Mueller; Jürgen Berges

doi:10.1016/j.physletb.2020.135459

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arXiv · 1903.11109

Non-cancellation of the parity anomaly in the strong-field regime of QED$_{2+1}$

Robert Ott·Torsten V. Zache·Niklas Mueller·Jürgen Berges

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Abstract

Quantum fluctuations lead to an anomalous violation of parity symmetry in quantum electrodynamics for an even number of spatial dimensions. While the leading parity-odd electric current vanishes in vacuum, we uncover a non-cancellation of the anomaly for strong electric fields with distinct macroscopic signatures. We perform real-time lattice simulations with fully dynamical gauge fields and Wilson fermions in $2+1$ space-time dimensions. In the static field limit, relevant at early times, we solve the problem analytically. Our results point out the fundamental role of quantum anomalies for strong-field phenomena, relevant for a wide range of condensed matter and high-energy applications, but also for the next generation of gauge theory quantum simulators.

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Robert Ott, Torsten V. Zache, Niklas Mueller, Jürgen Berges. 2019-03-26. Non-cancellation of the parity anomaly in the strong-field regime of QED$_{2+1}$. https://doi.org/10.1016/j.physletb.2020.135459

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