Phenomenologically Viable Lorentz-Violating Quantum Gravity

Thomas P. Sotiriou, Matt Visser, and Silke Weinfurtner
Phys. Rev. Lett. 102, 251601 – Published 25 June 2009

Abstract

Hořava’s “Lifschitz point gravity” has many desirable features, but in its original incarnation one is forced to accept a nonzero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of Hořava’s model that abandons “detailed balance” and regains parity invariance, and in 3+1 dimensions exhibit all five marginal (renormalizable) and four relevant (super-renormalizable) operators, as determined by power counting. We also consider the classical limit of this theory, evaluate the Hamiltonian and supermomentum constraints, and extract the classical equations of motion in a form similar to the Arnowitt-Deser-Misner formulation of general relativity. This puts the model in a framework amenable to developing detailed precision tests.

  • Received 2 May 2009

DOI:https://doi.org/10.1103/PhysRevLett.102.251601

©2009 American Physical Society

Authors & Affiliations

Thomas P. Sotiriou1, Matt Visser2, and Silke Weinfurtner3

  • 1Center for Fundamental Physics, University of Maryland, College Park, Maryland 20742-4111, USA
  • 2School of Mathematics, Statistics, and Operations Research, Victoria University of Wellington, New Zealand
  • 3Physics and Astronomy Department, University of British Columbia, Vancouver, Canada

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Issue

Vol. 102, Iss. 25 — 26 June 2009

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