论文标题

De Sitter Spacetime中的合理波形

Rational Wavefunctions in de Sitter Spacetime

论文作者

Goodhew, Harry

论文摘要

计算宇宙相关因子的自举方法依赖于动机的安萨兹(Ansatz)。在文献中,典型的是,假设相关因子是理性的功能,因为这大大增加了我们的约束能力。但是,这仅在某些特定理论中才得到证明。在本文中,我们发现了一组我们证明的假设足以确保波函数系数是理性的。作为推论,我们将明显的局部测试推广到更高的维度。该结果大大降低了波函数系数可以在通货膨胀和纯重力模型中既可以采用的允许的功能空间,又是宇宙学引导程序中的关键成分。

The Bootstrap approach to calculating cosmological correlators relies on a well motivated ansatz. It is typical in the literature to assume that correlators are rational functions as this greatly increases our constraining power. However, this has only previously been demonstrated for some specific theories. In this paper we find a set of assumptions which we prove are sufficient to ensure that the wavefunction coefficients are rational. As a corollary of this we generalise the manifestly local test to higher dimensions. This result greatly reduces the allowed space of functions that wavefunction coefficients can take in both the Effective Field Theory of Inflation and Pure Gravity models and is thus a key ingredient in the Cosmological Bootstrap program.

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