We consider the effective field theory of multiple interacting massive spin-2 fields. We focus on the case where the interactions are chosen so that the cutoff is the highest possible, and highlight two distinct classes of theories. In the first class, the mass eigenstates only interact through potential operators that carry no derivatives in unitary gauge at leading order. In the second class, a specific kinetic mixing between the mass eigenstates is included non-linearly. Performing a decoupling and ADM analysis, we point out the existence of a ghost present at a low scale for the first class of interactions. For the second class of interactions where kinetic mixing is included, we derive the full Λ 3 -decoupling limit and confirm the absence of any ghosts. Nevertheless both formulations can be used to consistently describe an EFT of interacting massive spin-2 fields which, for a suitable technically natural tuning of the EFT, have the same strong coupling scale Λ 3 . We identify the generic form of EFT corrections in each case. By using Galileon Duality transformations for the specific case of two massive spin-2 fields with suitable couplings, the decoupling limit theory is shown to be a bi-Galileon.

中文翻译：

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相互作用的自旋 2 场的 EFT

我们考虑多个相互作用的大量自旋 2 场的有效场理论。我们专注于选择相互作用以使截止值尽可能高的情况，并强调两类不同的理论。在第一类中，质量本征态仅通过潜在的算符相互作用，这些算符在领先阶次的酉规范中不携带导数。在第二类中，质量特征态之间的特定动力学混合被非线性地包括在内。在执行解耦和 ADM 分析时，我们指出第一类交互存在低尺度的鬼影。对于包含动力学混合的第二类相互作用，我们推导出完整的 Λ 3 -去耦极限并确认不存在任何重影。然而，这两种公式都可以用来一致地描述相互作用的大量自旋 2 场的 EFT，对于 EFT 的合适的技术自然调谐，具有相同的强耦合尺度 Λ 3 。我们确定每种情况下 EFT 校正的通用形式。通过对具有合适耦合的两个大规模自旋 2 场的特定情况使用伽利略对偶变换，解耦极限理论被证明是双伽利略。