论文标题
紫外线敏感的单循环物质功率谱中的高阶标量理论
UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
论文作者
论文摘要
我们研究物质密度的扰动最高三阶，以及脱离霍恩德斯基以外的高阶标量（DHOST）理论中的一环物质功率谱。我们按顺序系统地系统地求解了引力场方程和流体方程顺序，并找到了表征DHOST理论中三阶解的三个新型形状函数。然后，使用所得的二阶和三阶解获得一环物质功率谱的完整形式。我们证实了先前的结果，即红外限制中循环积分的收敛条件比总体相对性中的标准限制更为严格。我们表明，在紫外线中，收敛条件变得更加严格，因此，单循环的物质功率谱对线性功率谱的短波长行为敏感。
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.
