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Positivity bounds and the massless spin-2 pole

机译：阳性界限和无阻塞旋转2杆

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The presence of a massless spin-2 field in an effective field theory results in a t -channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on compactification to three dimensions have suggested that positivity bounds may be applied to the t -channel pole subtracted amplitude. If correct, this would have deep implications for UV physics and the weak gravity conjecture. Within the context of a simple renormalizable field theory coupled to gravity we find that applying these arguments would constrain the low-energy coupling constants in a way which is incompatible with their actual values. This contradiction persists on deforming the theory. Further enforcing the t -channel pole subtracted positivity bounds on such generic renormalizable effective theories coupled to gravity would imply new physics at a scale parametrically smaller than expected, with far-reaching implications. This suggests that generically the standard positivity bounds are inapplicable with gravity, and we highlight a number of issues that impinge on the formulation of a three-dimensional amplitude which simultaneously satisfies the required properties of analyticity, positivity, and crossing symmetry. We conjecture instead a modified bound that ought to be satisfied independently of the precise details of the high energy completion.
机译：有效场理论中的无阻塞旋转2场的存在导致散射幅度的T型沟槽杆释放出标准阳性界定的施加。尽管如此，基于压缩到三维的最近参数表明，阳性界限可以应用于T-Channel极减去幅度。如果正确，这对紫外线物理和弱重力猜想具有深入影响。在耦合到重力的简单重型化场理论的背景下，我们发现应用这些参数将以与其实际值不兼容的方式限制低能量耦合常数。这种矛盾仍然坚持变形理论。进一步强制执行T-Channel杆的耦合到重力的这种通用重型化有效理论上的阳性界限将暗示参数比预期的比例的新物理学，具有深远的影响。这表明，仿制性地标准正强度界限与重力不适用，并且我们突出了一些冲击的许多问题，其对三维振幅的配方施加，同时满足分析性，阳性和交叉对称性的所需性质。我们猜想，而是一个改进的界限，应该独立于高能完成的精确细节。

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