From amplitudes to contact cosmological correlators
From amplitudes to contact cosmological correlators
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DOI：
10.1007/jhep10(2021)001
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发表时间：
2021-06
影响因子：
5.4
通讯作者：
James Bonifacio;E. Pajer;Dong-Gang Wang
中科院分区：
文献类型：
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作者：
James Bonifacio;E. Pajer;Dong-Gang Wang
在过去的几年里，我们对宇宙时空中的量子纠缠子的理解，包括我们在宇宙调查中可以观察到的量子纠缠子，已经有了质的提高。现在我们知道这些物体必须满足的许多约束是一般物理原理的结果，如对称性、么正性和定域性。使用这种新的理解，我们推导出最一般的标量四点相关，即三谱，所有订单的衍生物明显的本地接触相互作用。为了得到这个结果，我们使用交换代数的技巧写下所有可能的标量四粒子振幅，而不假设在洛伦兹助推下不变性。然后，我们将这些振幅输入到接触重建公式中，该公式从接触标量或引力子振幅生成de Sitter时空中的接触宇宙学相关器。我们还展示了如何相同的程序可以用来获得更高的点接触宇宙学模型。我们的结果进一步扩展了无助推宇宙学自举的范围，并在平坦和弯曲时空物理学之间建立了新的联系。
Our understanding of quantum correlators in cosmological spacetimes, including those that we can observe in cosmological surveys, has improved qualitatively in the past few years. Now we know many constraints that these objects must satisfy as consequences of general physical principles, such as symmetries, unitarity and locality. Using this new understanding, we derive the most general scalar four-point correlator, ie, the trispectrum, to all orders in derivatives for manifestly local contact interactions. To obtain this result we use techniques from commutative algebra to write down all possible scalar four-particle amplitudes without assuming invariance under Lorentz boosts. We then input these amplitudes into a contact reconstruction formula that generates a contact cosmological correlator in de Sitter spacetime from a contact scalar or graviton amplitude. We also show how the same procedure can be used to derive higher-point contact cosmological correlators. Our results further extend the reach of the boostless cosmological bootstrap and build a new connection between flat and curved spacetime physics.