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Recently, Ho\v{r}ava has proposed a renormalizable theory of gravity with critical exponent z=3 in the UV.
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Later among the works it cites.
P. Hořava, Phys. Rev. D79, 084008 (2009; Phys. Rev. Lett. 102, 161301 (2009)
2009
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Y.S. Piao, Phys. Rev. D79, 067301 (2009)
2009
Closest in time.
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