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.

中文翻译：

---

QED2+1 强场区奇偶异常的不消除

量子涨落导致偶数空间维度的量子电动力学中奇偶对称性的异常违反。虽然领先的奇偶电流在真空中消失，但我们发现了具有不同宏观特征的强电场异常的非消除。我们使用全动态规范场和威尔逊费米子在 $2+1$ 时空维度上执行实时晶格模拟。在早期相关的静态场限制中，我们分析性地解决了问题。我们的结果指出了量子异常对强场现象的基本作用，与广泛的凝聚态物质和高能应用相关，也与下一代规范理论量子模拟器相关。