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arXiv 1601.04068hep-thgr-qchep-ph
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大质量引力中的正负号

Positive Signs in Massive Gravity

Clifford Cheung, Grant N. Remmen

摘要:

我们从散射振幅的么正性和解析性出发,导出了质量引力的新约束。我们的结果适用于一个一般的有效理论定义的爱因斯坦引力加上领先的软超态性打破修正。我们计算了张量、矢量和标量偏振的所有组合的散射振幅。这些振幅的高能量行为规定了改善紫外截止的耦合的具体选择,与现有文献一致。然后,我们推导出一致性条件,从解析色散关系,这决定了积极的某些组合的参数出现在前向散射振幅。这些限制排除了所有,但在参数空间中的一个小岛的幽灵免费大规模的重力。虽然已知单独的“伽利略”纯量模式理论与正性约束不一致,但这在完整的大质量引力理论中得到了纠正。

英文摘要:

We derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We calculate scattering amplitudes for all combinations of tensor, vector, and scalar polarizations. The high-energy behavior of these amplitudes prescribes a specific choice of couplings that ameliorates the ultraviolet cutoff, in agreement with existing literature. We then derive consistency conditions from analytic dispersion relations, which dictate positivity of certain combinations of parameters appearing in the forward scattering amplitudes. These constraints exclude all but a small island in the parameter space of ghost-free massive gravity. While the theory of the "Galileon" scalar mode alone is known to be inconsistent with positivity constraints, this is remedied in the full massive gravity theory.

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