论文标题
紫外线规范的功率谱在宇宙学上没有红外变形
Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
论文作者
论文摘要
我们重新检查了弗里德曼 - 莱默特雷 - 罗伯逊 - 沃克（FLRW）时空中标量场的两点函数的正则化。绝热正则化在动量空间中提供了一组减法术语，这些术语成功地消除了同时化点的紫外线差异，但可能会在红外尺度上显着扭曲功率谱，尤其是对于光场。在这项工作中，我们建议通过使用重新归一化计划的内在歧义，这是一组新的减法项，以最大程度地减少尺度$ k \ lyssim m $的扭曲，而$ m $ m $ a $ m $是任意的质量规模。我们的方法与局部协方差一致，并且等同于弯曲时空中的一般正则化方法。我们将结果应用于DE Sitter空间中功率谱的正规化：虽然绝热方案完全产生$Δ_TAISS^{\ rm（reg）} = 0 $对于无质量的字段，但我们的拟议处方恢复了标准的规模不变结果$δ__ϕ^{\ rm（reng rm（ress）} \ simeq h^2 /（scale）$ et s $ ats $ ats $ ats $ ats $ atsy（4-at-et s $ atter act act act act act act act act act act act act act acte y act y scap at s $ ats $ ats $ at4π
We reexamine the regularization of the two-point function of a scalar field in a Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. Adiabatic regularization provides a set of subtraction terms in momentum space that successfully remove its ultraviolet divergences at coincident points, but can significantly distort the power spectrum at infrared scales, especially for light fields. In this work we propose, by using the intrinsic ambiguities of the renormalization program, a new set of subtraction terms that minimize the distortions for scales $k \lesssim M$, with $M$ an arbitrary mass scale. Our method is consistent with local covariance and equivalent to general regularization methods in curved spacetime. We apply our results to the regularization of the power spectrum in de Sitter space: while the adiabatic scheme yields exactly $Δ_ϕ^{\rm (reg)} = 0$ for a massless field, our proposed prescription recovers the standard scale-invariant result $Δ_ϕ^{\rm (reg)} \simeq H^2 /(4π^2)$ at super-horizon scales.
