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arXiv 1107.3157hep-thastro-ph.COgr-qchep-ph
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自相互作用大质量自旋2粒子理论中的鬼现象

On ghosts in theories of self-interacting massive spin-2 particles

Sarah Folkerts, Alexander Pritzel, Nico Wintergerst

摘要:

我们考虑闵可夫斯基背景下大质量自旋2粒子$h_{μν}$的一般理论。根据螺旋度本征态对$h_{μν}$进行分解,我们可以直接检验任何给定的理论是否具有作为庞加莱群的大质量自旋2表示的一致描述。我们证明了(i)任何具有爱因斯坦导数结构的非线性理论要么包含鬼,要么不描述弱耦合自旋2;(ii)存在一个非爱因斯坦立方自相互作用的双参数族,它们构成了一个无鬼的质量自旋2理论。

英文摘要:

We consider general theories of a massive spin-2 particle $h_{μν}$ on a Minkowski background. A decomposition of $h_{μν}$ in terms of helicity eigenstates allows us to directly test whether any given theory possesses a consistent description as a massive spin-2 representation of the Poincaré group. We demonstrate (i) that any nonlinear theory with an Einsteinian derivative structure either contains ghosts or does not describe a weakly coupled spin-2 and (ii) that there exists a two-parameter family of non-Einsteinian cubic self-interactions which constitute a ghost-free massive spin-2 theory.

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