Cancellation of divergences in the nonprojectable Hořava theory

We perform an analysis of the ultraviolet divergences quantum nonprojectable Horava gravity. work field theory directly in Hamiltonian formalism provided by Batalin-Fradkin-Vilkovisky quantization. In this way second-class constraints can be incorporated to A known local gauge-fixing condition leads a canonical Lagrangian. Although fields acquire regular propagators, irregular propagators persist for associated measure constraints. Loops formed with producing potentially dangerous subdivergences. show that all these loops cancel exactly between them due perfect matching and vertices ghosts forming loops. The rest behaves similiarly projectable theory, they removed counterterms. This result points renormalization theory.