Consistency of the Hamiltonian formulation of the lowest-order effective action of the complete Hořava theory

Jorge Bellorín and Alvaro Restuccia
Phys. Rev. D 84, 104037 – Published 21 November 2011

Abstract

We perform the Hamiltonian analysis for the lowest-order effective action, up to second order in derivatives, of the complete Hořava theory. The model includes the invariant terms that depend on ilnN proposed by Blas, Pujolàs, 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 λR model studied by us in a previous paper, it lacks two second-class constraints, which leads to the extra even mode.

  • Received 4 July 2011

DOI:https://doi.org/10.1103/PhysRevD.84.104037

© 2011 American Physical Society

Authors & Affiliations

Jorge Bellorín1,* and Alvaro Restuccia1,2,†

  • 1Departamento de Física, Universidad Simón Bolívar, Valle de Sartenejas, 1080-A Caracas, Venezuela
  • 2Department of Physics, Universidad de Antofagasta, Chile

  • *jorgebellorin@usb.ve
  • arestu@usb.ve

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Issue

Vol. 84, Iss. 10 — 15 November 2011

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