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Hu, Yu-Min; Zhao, Yaqi; Ren, Xin; Wang, Bo; Saridakis, Emmanuel N.; Cai, Yi-Fu
Journal of cosmology and astroparticle physics, 07/2023, Volume: 2023, Issue: 7Journal Article
Abstract 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. We find that no new scalar mode is present in both 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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