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Building a boostless bootstrap for the bispectrum
Journal of Cosmology and Astroparticle Physics ( IF 5.3 ) Pub Date : 2021-01-13 , DOI: 10.1088/1475-7516/2021/01/023
Enrico Pajer

The observation of primordial correlators by cosmological surveys is a very promising avenue to probe high energies and the perturbative regime of quantum gravity. Hence, it is imperative that we understand how these observables are shaped by the pillars of fundamental physics, namely unitarity, locality and symmetries. To this end, we study the three-point correlators of gravitons and scalar curvature perturbations around a quasi de Sitter spacetime. We identify a set of Bootstrap Rules that fully fix the form of these correlators in the asymptotic future, i.e. at the boundary, and make no reference to bulk time evolution. Importantly, our Boostless Bootstrap accounts for the ubiquitous (spontaneous) breaking of de Sitter boosts caused by any inflationary background. We show how all bispectra involving gravitons in single-clock, canonical inflation can be easily derived in this approach. We also derive for the first time the scalar bispectrum in the Effective Field Theory of inflation to any order in derivatives. In many cases, our derivation is computationally simpler than the corresponding explicit calculation, and makes particularly transparent the implications of locality, the choice of vacuum, and the underlying symmetries.

中文翻译:

为双谱构建无助推引导程序

通过宇宙学调查对原始相关器的观察是探测高能和量子引力微扰机制的非常有前途的途径。因此,我们必须了解这些可观测量是如何被基础物理学的支柱,即幺正性、局域性和对称性塑造的。为此,我们研究了准德西特时空周围的引力子和标量曲率扰动的三点相关器。我们确定了一组 Bootstrap 规则,它们在渐近未来(即在边界处)完全固定这些相关器的形式,并且没有参考批量时间演化。重要的是,我们的 Boostless Bootstrap 解释了由任何通货膨胀背景引起的普遍(自发)的 de Sitter 提升的中断。我们展示了所有涉及单时钟引力子的双谱,用这种方法可以很容易地推导出规范膨胀。我们还首次将通货膨胀的有效场论中的标量双谱推导出到导数中的任何阶数。在许多情况下,我们的推导在计算上比相应的显式计算更简单,并且使局域性、真空选择和潜在对称性的含义特别透明。
更新日期:2021-01-13
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