Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory
Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory
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DOI：
10.3390/sym13050834
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发表时间：
2021-04
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影响因子：
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通讯作者：
Q. Bailey
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文献类型：
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作者：
Q. Bailey
我们研究了在自发双态和局部洛伦兹对称破缺的背景下双态对称的基本守恒律。守恒定律被用来作为一个通用的一系列条款的限制，在一个平坦的背景周围的扩展。我们发现所有这些条款的两张量耦合到立方阶的度量和张量场的波动。结果以可用于唯象计算的形式呈现。一个关键的结果是，如果我们在自发对称性破缺的情况下保持基本的对称性，除了二次作用的特殊情况外，我们不能在作用量水平上将两张量涨落与度量涨落解耦。
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.