arXiv 1010.32882010-10-15hep-thgr-qc

引力Higgs机制中的么正性检验

Unitarity Check in Gravitational Higgs Mechanism

Lasha Berezhiani, Mehrdad Mirbabayi

备注：: 10 pages
发表信息：: Phys.Rev.D83:067701,2011
DOI：: 10.1103/PhysRevD.83.067701

摘要：

长期以来，大质量引力的有效场论一直是以一种普遍协变的方式表述的。使用这种形式主义，最近已经发现，存在一类大质量的非线性理论，是免费的Boulware-Deser鬼，至少在去耦极限arXiv：1007.0443。在这项工作中，我们研究了其他最近提出的模型，在“引力希格斯理论”的名称arXiv：1002.3877，arXiv：1008.5132。我们表明，这些模型，虽然看似不同的有效场论的大质量引力，实际上是等价的。此外，基于有效场论方法得到的结果，我们得出结论，引力Higgs理论需要同样的调整拉格朗日，以避免鬼。我们还证明了希格斯理论中使用的非协变模式分解与有效场论中采用的协变Stückelberg化之间的等价性，从而证明了幽灵的存在与否与任一理论中使用的参数化无关。

英文摘要：

The effective field theory of massive gravity had long been formulated in a generally covariant way arXiv:hep-th/0210184. Using this formalism, it has been found recently that there exists a class of massive nonlinear theories that are free of the Boulware-Deser ghosts, at least in the decoupling limit arXiv:1007.0443. In this work we study other recently proposed models that go under the name of "gravitational Higgs theories" arXiv:1002.3877, arXiv:1008.5132. We show that these models, although seemingly different from the effective field theories of massive gravity, are in fact equivalent to them. Furthermore, based on the results obtained in the effective field theory approach, we conclude that the gravitational Higgs theories need the same adjustment of the Lagrangian to avoid the ghosts. We also show the equivalence between the noncovariant mode decomposition used in the Higgs theories, and the covariant Stückelbergization adopted in the effective field theories, thus, proving that the presence or absence of the ghost is independent of the parametrization used in either theory.

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