论文标题
在$ f(r)$重力中的共形框架上
On the Conformal Frames in $f(R)$ Gravity
论文作者
论文摘要
我们讨论了Jordan和Einstein框架的重力物理学,$ f(r)$重力与标准模型相连。我们阐明了对通用$ f(r)$的爱因斯坦框架中观察到的重力耦合的方式。我们指出,爱因斯坦框架中“跑步单元”的效果与以下事实有关:标准模型的显式和隐式量子参数,例如Higgs真空期望值和参数$λ_\λ_\ text {qcd} $,通过与sallocy interric and callon ippertents and Ippertents eppertects and Ipportects and Ipplotal ipplotects consection {QCD} $进行了修改。考虑到描述暗物质的$ f(r)$重力的标量,我们表明在这种情况下,跑步单元的效果极为弱,使两个帧实际上等效。
We discuss gravitational physics in the Jordan and Einstein frames of $f (R)$ gravity coupled to the Standard Model. We elucidate the way in which the observed gravitational coupling arises in the Einstein frame for generic $f (R)$. We point out that the effect of "running units" in the Einstein frame is related to the fact that the explicit and implicit quantum parameters of the Standard Model, such as the Higgs vacuum expectation value and the parameter $Λ_\text{QCD}$, are modified by the conformal transformation of the metric and matter fields and become scalaron-dependent. Considering the scalaron of $f (R)$ gravity describing dark matter, we show that the effect of running units in this case is extremely weak, making two frames practically equivalent.