标题： 度规量子涨落对胚膜世界的影响 显示英文标题

标题： Effects of quantum fluctuations of the metric on a braneworld

摘要： 基于量子涨落度规的期望值是线性的这一前提，即$\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$，我们分析了由爱因斯坦-希尔伯特作用量与物质场耦合所诱导的修正引力理论。 这种方法产生了用于研究膜世界的$f(R,T)$引力。 在此背景下，考虑一个厚膜，研究了度规涨落对膜动力学的影响。 由此得出度规涨落如何影响真空态的方式。 这种影响会改变膜的能量以及物质场的渐近轮廓。 注意到这些修改后，我们分析了物质场中最可能且最稳定的结构。 通过考虑微分构型熵的理论测量值来完成此分析。 显示英文摘要

摘要： Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., $\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$, we analyze the modified gravity theory induced by the Einstein-Hilbert action coupled to a matter field. This approach engenders the $f(R,T)$ gravity used to investigate the braneworld. In this scenario, considering a thick brane, the influence of metric fluctuations on brane dynamics is investigated. Consequently, one shows how the metric fluctuations influence the vacuum states. This influence has repercussions for modifying the brane energy and the asymptotic profile of the matter field. After noticing these modifications, we analyzed the most likely and stable structures from the matter field. One performs this analysis considering the theoretical measure of differential configurational entropy.