Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-28
Phys. Rev. D84 (2011) 104037
Physics
High Energy Physics
High Energy Physics - Theory
The Introduction has been expanded. The role of the coupling constants of boundary terms has been clarified. Other minor chang
Scientific paper
10.1103/PhysRevD.84.104037
We perform the Hamiltonian analysis for the lowest-order effective action, up to second order in derivatives, of the complete Horava theory. The model includes the invariant terms that depend on \partial_i ln N proposed by Blas, Pujolas and Sibiryakov. We show that the algebra of constraints closes. The "Hamiltonian" constraint is of second-class behavior and it can be regarded as an elliptic partial differential equation for N. The linearized version of this equation is a Poisson equation for N that can be solved consistently. The preservation in time of the Hamiltonian constraint yields an equation that can be consistently solved for a Lagrange multiplier of the theory. The model has six propagating degrees of freedom in the phase space, corresponding to three even physical modes. When compared with the \lambda R model studied by us in a previous paper, it lacks two second-class constraints, which leads to the extra even mode.
Bellorin Jorge
Restuccia Alvaro
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