UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
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简并高阶标量张量理论中的紫外敏感单环物质功率谱
DOI：
10.1103/physrevd.102.103505
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发表时间：
2020
影响因子：
5
通讯作者：
Yokoyama Shuichiro
中科院分区：
文献类型：
--
作者：
Hirano Shin’ichi;Kobayashi Tsutomu;Yamauchi Daisuke;Yokoyama Shuichiro
我们研究物质密度扰动到三阶和单圈物质功率谱在简并高阶标量张量（DHOST）理论超越Horndeski。我们系统地逐阶求解了引力场方程和流体方程，发现了三个表征DHOST理论三阶解的新形函数。一个完整的形式的单圈物质功率谱，然后获得使用所得的二阶和三阶的解决方案。我们证实了以前的结果，即在红外极限下的圈积分的收敛条件比广义相对论中的标准圈积分的收敛条件更为严格。我们表明，也在紫外线限制的收敛条件变得更加严格，单回路物质的功率谱，从而敏感的线性功率谱的短波长行为。
We study matter density perturbations up to third order and the one-loop matter power spectrum in degenerate higher-order scalar-tensor (DHOST) theories beyond Horndeski. We systematically solve gravitational field equations and fluid equations order by order and find three novel shape functions characterizing the third-order solution in DHOST theories. A complete form of the one-loop matter power spectrum is then obtained using the resultant second- and third-order solutions. We confirm the previous result that the convergence condition of the loop integrals in the infrared limit becomes more stringent than that of the standard one in general relativity. We show that also in the ultraviolet limit the convergence condition becomes more stringent and the one-loop matter power spectrum is thus sensitive to the short-wavelength behavior of the linear power spectrum.