作为引力子质量约束的turbulence源引力波的张量谱
Tensor spectrum of turbulence-sourced gravitational waves as a constraint on graviton mass
摘要：
我们考虑一个通用的色散质量引力理论和数值研究其产生的修改后的能量和应变谱的张量引力波（GW）来源于（i）充分发展的湍流在电弱相变（EWPT）和（ii）强制磁流体湍流在QCD相变（QCDPT）。然后在空间和时间傅立叶域中计算GW谱。我们发现，从空间谱，斜率的修改是弱依赖于涡流大小在QCDPT，从时间谱，修改是明显的$1$ -$10{\rm nHz}$范围-北美纳赫兹引力波天文台（NANOGrav）的灵敏度范围-在范围$2\times10^{-23}{\rm eV}\lesssim m_{\rm g}c^2\lesssim7\times10^{-22}{\rm eV}$的引力子质量$m_{\rm g}$。
英文摘要：
We consider a generic dispersive massive gravity theory and numerically study its resulting modified energy and strain spectra of tensor gravitational waves (GWs) sourced by (i) fully developed turbulence during the electroweak phase transition (EWPT) and (ii) forced hydromagnetic turbulence during the QCD phase transition (QCDPT). The GW spectra are then computed in both spatial and temporal Fourier domains. We find, from the spatial spectra, that the slope modifications are weakly dependent on the eddy size at QCDPT, and, from the temporal spectra, that the modifications are pronounced in the $1$--$10{\rm nHz}$ range -- the sensitivity range of the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) -- for a graviton mass $m_{\rm g}$ in the range $2\times10^{-23}{\rm eV}\lesssim m_{\rm g}c^2\lesssim7\times10^{-22}{\rm eV}$.
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