### Abstract

Both projectable and non-projectable versions of Horava-Lifshitz gravity face serious challenges. In the non-projectable version, the constraint algebra is seemingly inconsistent. The projectable version lacks a local Hamiltonian constraint, thus allowing for an extra scalar mode which can be problematic. A new formulation of non-projectable Horava-Lifshitz gravity, naturally realized as a representation of the master constraint algebra studied by loop quantum gravity researchers, is presented. This yields a consistent canonical theory with first class constraints. It captures the essence of Horava-Lifshitz gravity in retaining only spatial diffeomorphisms (instead of full space-time covariance) as the physically relevant non-trivial gauge symmetry; at the same time the local Hamiltonian constraint needed to eliminate the extra mode is equivalently enforced by the master constraint.

Original language | English |
---|---|

Pages (from-to) | 275-278 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 701 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2011 Jul 4 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

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*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 701, no. 2, pp. 275-278. https://doi.org/10.1016/j.physletb.2011.05.055

**New formulation of Horava-Lifshitz quantum gravity as a master constraint theory.** / Soo, Cho-Pin; Yang, Jinsong; Yu, Hoi Lai.

Research output: Contribution to journal › Article

TY - JOUR

T1 - New formulation of Horava-Lifshitz quantum gravity as a master constraint theory

AU - Soo, Cho-Pin

AU - Yang, Jinsong

AU - Yu, Hoi Lai

PY - 2011/7/4

Y1 - 2011/7/4

N2 - Both projectable and non-projectable versions of Horava-Lifshitz gravity face serious challenges. In the non-projectable version, the constraint algebra is seemingly inconsistent. The projectable version lacks a local Hamiltonian constraint, thus allowing for an extra scalar mode which can be problematic. A new formulation of non-projectable Horava-Lifshitz gravity, naturally realized as a representation of the master constraint algebra studied by loop quantum gravity researchers, is presented. This yields a consistent canonical theory with first class constraints. It captures the essence of Horava-Lifshitz gravity in retaining only spatial diffeomorphisms (instead of full space-time covariance) as the physically relevant non-trivial gauge symmetry; at the same time the local Hamiltonian constraint needed to eliminate the extra mode is equivalently enforced by the master constraint.

AB - Both projectable and non-projectable versions of Horava-Lifshitz gravity face serious challenges. In the non-projectable version, the constraint algebra is seemingly inconsistent. The projectable version lacks a local Hamiltonian constraint, thus allowing for an extra scalar mode which can be problematic. A new formulation of non-projectable Horava-Lifshitz gravity, naturally realized as a representation of the master constraint algebra studied by loop quantum gravity researchers, is presented. This yields a consistent canonical theory with first class constraints. It captures the essence of Horava-Lifshitz gravity in retaining only spatial diffeomorphisms (instead of full space-time covariance) as the physically relevant non-trivial gauge symmetry; at the same time the local Hamiltonian constraint needed to eliminate the extra mode is equivalently enforced by the master constraint.

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U2 - 10.1016/j.physletb.2011.05.055

DO - 10.1016/j.physletb.2011.05.055

M3 - Article

VL - 701

SP - 275

EP - 278

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -