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arXiv 1407.5597hep-thgr-qc
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引力子三点耦合修正的因果约束

Causality Constraints on Corrections to the Graviton Three-Point Coupling

Xian O. Camanho, Jose D. Edelstein, Juan Maldacena, Alexander Zhiboedov

摘要:

我们考虑了弱耦合引力理论中引力子三点耦合的高阶导数修正。洛伦兹不变性允许进一步的结构超越爱因斯坦理论中的一个。我们认为,这些都受到因果关系的约束。我们设计了一个思想实验,涉及一个高能散射过程,如果引力子三点顶点包含附加结构,则会导致因果关系的破坏。这种违反不能通过添加具有自旋$J \leq 2$的常规粒子来修复。但是,它可以通过添加一个无限的塔额外的质量粒子与更高的自旋,$J > 2$。在AdS理论中,这意味着在$Δ_{gap}$方面对共形反常系数$\left|{a - c \over c} \right| \lesssim {1 \over Δ_{gap}^2}$的约束,$Δ_{gap}$是具有自旋$J > 2$的最轻单粒子算符的维数。对于暴胀或类德西特解,如果重力波的非高斯性与爱因斯坦理论计算的结果有很大的偏差,则表明存在质量更高的自旋粒子。

英文摘要:

We consider higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity. Lorentz invariance allows further structures beyond the one present in the Einstein theory. We argue that these are constrained by causality. We devise a thought experiment involving a high energy scattering process which leads to causality violation if the graviton three-point vertex contains the additional structures. This violation cannot be fixed by adding conventional particles with spins $J \leq 2$. But, it can be fixed by adding an infinite tower of extra massive particles with higher spins, $J > 2$. In AdS theories this implies a constraint on the conformal anomaly coefficients $\left|{a - c \over c} \right| \lesssim {1 \over Δ_{gap}^2}$ in terms of $Δ_{gap}$, the dimension of the lightest single particle operator with spin $J > 2$. For inflation, or de Sitter-like solutions, it indicates the existence of massive higher spin particles if the gravity wave non-gaussianity deviates significantly from the one computed in the Einstein theory.

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