Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-05
Physics
High Energy Physics
High Energy Physics - Theory
Revtex4, no figures. Some typos are corrected. Version to be published in Rapid Communication, Phys. Rev. D
Scientific paper
In this paper, we show that the spin-0 gravitons appearing in Horava-Lifshitz gravity without the projectability condition can be eliminated by extending the gauge symmetries of the foliation-preserving diffeomorphisms to include a local U(1) symmetry. As a result, the problems of stability, ghost, strong coupling, and different speeds in the gravitational sector are automatically resolved. In addition, with the detailed balance condition softly breaking, the number of independent coupling constants can be significantly reduced (from more than 70 down to 15), while the theory is still UV complete and possesses a healthy IR limit, whereby the prediction powers of the theory are considerably improved. The strong coupling problem in the matter sector can be cured by introducing an energy scale $M_{*}$, so that $M_{*} < \Lambda_{\omega}$, where $M_{*}$ denotes the suppression energy of high order derivative terms, and $\Lambda_{\omega}$ the would-be strong coupling energy scale.
Shu Fuwen
Wang Anzhong
Wu Qiang
Zhu Tianfei
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