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arXiv 2302.03545gr-qcastro-ph.CO
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$f(T)$ 引力中强耦合问题的有效场论方法

The effective field theory approach to the strong coupling issue in $f(T)$ gravity

Yu-Min Hu, Yaqi Zhao, Xin Ren, Bo Wang, Emmanuel N. Saridakis, Yi-Fu Cai

AI总结:

本文应用有效场论方法研究宇宙学背景下 $f(T)$ 引力的标量扰动与强耦合问题,发现虽无新标量模式暗示强耦合,但通过三次与二次 Lagrangian 之比估计强耦合能标,表明部分模式可避免该问题。

摘要:

我们应用有效场论(EFT)方法,研究了宇宙学背景下 $f(T)$ 的标量扰动及可能的强耦合问题。我们重新审视了修正遥平行引力的广义 EFT 框架,并通过考虑 $f(T)$ 理论的线性和二阶扰动来应用它。$f(T)$ 引力中的线性和二阶扰动中不存在新的标量模式,这暗示了强耦合问题。然而,基于三次与二次 Lagrangian 之比,我们对强耦合能标进行了简单估计,结果表明至少对于某些模式,强耦合问题是可以避免的。总之,只要相关尺度与理论适用性的截断能标 $M$ 相当,最初看似有问题的扰动行为未必必然导致强耦合问题。

英文摘要:

We investigate the scalar perturbations and the possible strong coupling issues of $f(T)$ around a cosmological background, applying the effective field theory (EFT) approach. We revisit the generalized EFT framework of modified teleparallel gravity and apply it by considering both linear and second-order perturbations for $f(T)$ theory. No new scalar mode is present in linear and second-order perturbations in $f(T)$ gravity, which suggests a strong coupling problem. However, based on the ratio of cubic to quadratic Lagrangians, we provide a simple estimation of the strong coupling scale, a result which shows that the strong coupling problem can be avoided at least for some modes. In conclusion, perturbation behaviors that at first appear problematic may not inevitably lead to a strong coupling problem, as long as the relevant scale is comparable with the cutoff scale $M$ of the applicability of the theory.

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