论文标题
在替代线性大规模旋转2模型家族中的Higuchi没有结合的Higuchi
Absence of the Higuchi bound in a family of alternative linear massive spin-2 models
论文作者
论文摘要
Fierz-Pauli（FP）理论在De Sitter背景中有一个众所周知的结果，它是Spin 2粒子的质量$ M $ Higuchi Bound的质量$ m $的存在。它确定$ m^2 \ geq 2h^2 $，其中$ h $是哈勃参数，为了理论，没有类似幽灵的不稳定性。从这个意义上讲，$ m $应该是不可接受的，以便在宇宙时期的通货膨胀时期满足这种情况，这使FP理论与宇宙学调和很难。在这封信中，我们表明，在大量的spin-2粒子的替代描述中，可以避免使用Higuchi绑定，称为$ \ Mathcal {l}（a_1）$模型。在最大对称空间中，该理论具有两个自由参数，可以始终选择，以使模型没有$ m $的下限。然后，$ m $可以任意小于当时避免不稳定性的通货膨胀量表。
There is a well known result from the Fierz-Pauli (FP) theory in de Sitter background that is the existence of a lower bound for the mass $m$ of the spin 2 particle, the Higuchi bound. It establishes that $m^2\geq 2H^2$, where $H$ is the Hubble parameter, in order to the theory presents no ghost-like instabilities. In this sense, $m$ should be unacceptable high in order to fulfill this condition at the time of the inflationary epoch of the Universe, posing a difficulty to conciliate the FP theory with cosmology. In this letter we show that the Higuchi bound can be circumvented in an alternative description of massive spin-2 particles known as $\mathcal{L}(a_1)$ models. In maximally symmetric spaces the theory has two free parameters which can be consistently chosen in order to make the model absent of a lower bound for $m$. Then, $m$ can be arbitrarily smaller than the energy scale of inflation avoiding instabilities at that time.
