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We study the strong coupling problem in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory of gravity with an arbitrary coupling constant, generalized recently by da Silva, where describes the deviation of the theory in the infrared from general relativity that has ₆ₑ=1. We find that a scalar field in the Minkowski background becomes strongly coupled for processes with energy higher than _ (M₋/c₁) ^3/2M₋|-1|^5/4, where generically c₁M₋. However, this problem can be cured by introducing a new energy scale M*, so that M*<_, where M* denotes the suppression energy of high-order derivative terms of the theory.
Lin et al. (Mon,) studied this question.