Closure of the algebra of constraints for a nonprojectable Hořava model

Details Closure of the algebra of constraints for a nonprojectable Hořava model Closure of the algebra of constraints for a nonprojectable Hořava model

2010-10-26

arxiv.org/abs/1010.5531v3

Phys.Rev.D83:044003,2011

Physics

High Energy Physics

High Energy Physics - Theory

Some comments added in conclusions and abstract. Version published in Phys. Rev. D. 15 pages, 1 figure

Scientific paper

10.1103/PhysRevD.83.044003

We perform the Hamiltonian analysis for a nonprojectable Horava model whose potential is composed of R and R^2 terms. We show that Dirac's algorithm for the preservation of the constraints can be done in a closed way, hence the algebra of constraints for this model is consistent. The model has an extra, odd, scalar mode whose decoupling limit can be seen in a linear-order perturbative analysis on weakly varying backgrounds. Although our results for this model point in favor of the consistency of the Ho\v{r}ava theory, the validity of the full nonprojectable theory still remains unanswered.

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