论文标题

大量重力的谐波仪表的注释

A note on Harmonic Gauge(s) in Massive Gravity

论文作者

Gambuti, Giulio, Maggiore, Nicola

论文摘要

我们考虑线性化重力中的谐波量规条件,被视为对称张量场的尺度理论。根据Faddeev-Popov程序,一旦实施了谐波规格条件,习惯后,固定操作仍然取决于一个量规参数。因此,谐波计似乎是一类条件,而不是特定条件。这允许为协变量的谐波量规提供物理动机,当重力扰动的质量术语给出时,它会出现。实际上,对于特定的谐波量规选择,我们发现一种线性化的大量重力理论,表现出五个自由度,并且与标准的Fierz-Pauli理论中发生的情况不同,并且不受VDVZ不连续性的影响。

We consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed action still depends on one gauge parameter. Consequently, the harmonic gauge appears to be a class of conditions, rather than a particular one. This allows to give a physical motivation for the covariant harmonic gauge(s), which emerges when the gravitational perturbation is given a mass term. In fact, for a particular choice of harmonic gauge, we find a theory of linearized massive gravity displaying five degrees of freedom, as it should, and which is not affected by the vDVZ discontinuity, differently from what happens in the standard Fierz-Pauli theory.

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