We discuss equilibrium relativistic fermionic systems in lattice regularization, and extend the consideration of chiral magnetic effect to systems with spatial inhomogeneity and finite temperature. Besides, we take into account interactions due to exchange by gauge bosons. We find that the equilibrium chiral magnetic conductivity remains equal to zero.

中文翻译：

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平衡手性磁效应：空间不均匀性、有限温度、相互作用

我们讨论晶格正则化中的平衡相对论费米子系统，并将手性磁效应的考虑扩展到具有空间不均匀性和有限温度的系统。此外，我们考虑了规范玻色子交换引起的相互作用。我们发现平衡手性磁导率保持为零。