We examined the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws were used as constraints on a generic series of terms in an expansion around a flat background. We found all such terms for a two-tensor coupling to cubic order in the metric and tensor field fluctuations. The results are presented in a form that can be used for phenomenological calculations. One key result is that if we preserve the underlying diffeomorphism symmetry in a spontaneous-symmetry breaking scenario, one cannot decouple the two-tensor fluctuations from the metric fluctuations at the level of the action, except in special cases of the quadratic actions.

中文翻译：

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时空对称突破有效场理论中高阶度量涨落项的构造

我们研究了自然自发同构和局部洛伦兹对称破缺的情况下基本的守恒定律。在围绕平坦背景的扩展中，守恒定律被用作对一系列通用术语的约束。我们发现，在公制和张量场波动中，两个张量耦合至立方量级的所有此类项。结果以可用于现​​象学计算的形式呈现。一个关键的结果是，如果我们在自发对称破裂的情况下保留了基本的亚纯对称性，那么除非在二次动作的特殊情况下，否则无法将两张量波动与动作水平上的度量波动解耦。