In this paper we have analyzed the improved version of the Gauge Unfixing (GU) formalism of the massive Carroll-Field-Jackiw model, which breaks both the Lorentz and gauge invariances, to disclose hidden symmetries to obtain gauge invariance, the key stone of the Standard Model. In this process, as usual, we have converted this second-class system into a first-class one and we have obtained two gauge invariant models. We have verified that the Poisson brackets involving the gauge invariant variables, obtained through the GU formalism, coincide with the Dirac brackets between the original second-class variables of the phase space. Finally, we have obtained two gauge invariant Lagrangians where one of them represents the Stückelberg form.

中文翻译：

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揭示大规模Carroll-Field-Jackiw模型的隐藏对称性和规范不变性

在本文中，我们分析了大规模Carroll-Field-Jackiw模型的Gauge Unfixing（GU）形式主义的改进版本，该模型打破了Lorentz和规范不变性，以揭示隐藏的对称性以获得规范不变性，即规范不变性的关键。标准模型。在此过程中，像往常一样，我们已将该第二类系统转换为第一类系统，并获得了两个规范不变模型。我们已经验证了通过GU形式主义获得的涉及规范不变变量的Poisson括号与相空间原始二等变量之间的Dirac括号一致。最后，我们获得了两个规范不变的拉格朗日方程，其中一个代表Stückelberg形式。