Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-08
Phys.Rev.D84:044051,2011
Physics
High Energy Physics
High Energy Physics - Theory
Some typos are corrected & new references added. revtex4, one figure. To appear in Physical Review D
Scientific paper
10.1103/PhysRevD.84.044051
We study the strong coupling problem in the Horava-Melby-Thompson setup of the Horava-Lifshitz gravity with an arbitrary coupling constant $\lambda$, generalized recently by da Silva, where $\lambda$ describes the deviation of the theory in the infrared from general relativity that has $\lambda_{GR} = 1$. We find that a scalar field in the Minkowski background becomes strong coupling for processes with energy higher than $\Lambda_{\omega} [\equiv (M_{pl}/c_1)^{3/2} M_{pl}|\lambda - 1|^{5/4}]$, where generically $c_1 \ll M_{pl}$. However, this problem can be cured by introducing a new energy scale $M_{*}$, so that $M_{*} < \Lambda_{\omega}$, where $M_{*}$ denotes the suppression energy of high order derivative terms of the theory.
Lin Kai
Wang Anzhong
Wu Qiang
Zhu Tianfei
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