We study the new extension of the z = 3 Horava–Lifshitz QED involving a CPT-breaking term, characterized by the axial vector b0,i, and calculate the Carroll–Field–Jackiw (CFJ) term in the one-loop approximation. Explicitly, we use two regularization schemes and demonstrate that in our case, the CFJ term is finite but ambiguous, so that its exact coefficient depends on the used regularization.

中文翻译：

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违反 CPT 的 z = 3 Horava-Lifshitz QED 和 Carroll-Field-Jackiw 项的生成

我们研究新的扩展z = 3Horava-Lifshitz QED 涉及一个 CPT 破坏项，其特征在于轴向矢量b0,一世，并在单循环近似中计算 Carroll-Field-Jackiw (CFJ) 项。明确地，我们使用了两种正则化方案并证明在我们的例子中，CFJ 项是有限的但不明确的，因此它的确切系数取决于所使用的正则化。