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We study a massive gravity theory which is Lorentz violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric…

High Energy Physics - Theory · Physics 2012-07-13 Bertha Cuadros-Melgar , Eleftherios Papantonopoulos , Minas Tsoukalas , Vassilios Zamarias

In the description of general covariance, the vierbein and the Lorentz connection can be treated as independent fundamental fields. With the usual gauge Lagrangian, the Lorentz connection is characterized by an asymptotically free running…

High Energy Physics - Theory · Physics 2017-08-16 John F. Donoghue

The dynamical consistency of the non-projectable version of Horava gravity is investigated by focusing on the asymptotically flat case. It is argued that for generic solutions of the constraint equations the lapse must vanish…

High Energy Physics - Theory · Physics 2010-04-06 Marc Henneaux , Axel Kleinschmidt , Gustavo Lucena Gómez

Ho\v{r}ava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Anzhong Wang

The Hamiltonian analysis for $f(T)$ gravity implies the existence of at least one scalar-type degree of freedom (DoF). However, this scalar DoF of $f(T)$ gravity does not manifest in linear perturbations around a cosmological background,…

General Relativity and Quantum Cosmology · Physics 2024-02-01 Yu-Min Hu , Yang Yu , Yi-Fu Cai , Xian Gao

Recent work has shown that dispersion relations with Planck scale Lorentz violation can produce observable effects at energies many orders of magnitude below the Planck energy M. This opens a window on physics that may reveal quantum…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Jacobson , S. Liberati , D. Mattingly

Recently, Horava and Melby-Thompson proposed in arXiv:1007.2410 a nonrelativistic gravity theory with extended gauge symmetry that is free of the spin-0 graviton. We propose a minimal substitution recipe to implement this extended gauge…

High Energy Physics - Theory · Physics 2011-02-16 Alan M. da Silva

We consider Horava gravity within the framework of the effective field theory (EFT) of dark energy and modified gravity. We work out a complete mapping of the theory into the EFT language for an action including all the operators which are…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-09 Noemi Frusciante , Marco Raveri , Daniele Vernieri , Bin Hu , Alessandra Silvestri

In the minimal formulation of gravity with Lifshitz-type anisotropic scaling, the gauge symmetries of the system are foliation-preserving diffeomorphisms of spacetime. Consequently, compared to general relativity, the spectrum contains an…

High Energy Physics - Theory · Physics 2014-11-21 Petr Horava , Charles M. Melby-Thompson

We study Birkhoff's theorem, which states the absence of time-dependent, spherically symmetric vacuum solutions in four-dimensional Horava gravity, which has been proposed as a renormalizable quantum gravity without the ghost problem. We…

High Energy Physics - Theory · Physics 2019-06-05 Deniz O. Devecioglu , Mu-In Park

We study the unitarity of models with low scale quantum gravity both in four dimensions and in models with a large extra-dimensional volume. We find that models with low scale quantum gravity have problems with unitarity below the scale at…

High Energy Physics - Phenomenology · Physics 2011-02-09 Michael Atkins , Xavier Calmet

Horava's proposal for non-relativistic quantum gravity introduces a preferred time foliation of space-time which violates the local Lorentz invariance. The foliation is encoded in a dynamical scalar field which we call `khronon'. The…

High Energy Physics - Theory · Physics 2011-04-11 Diego Blas , Oriol Pujolas , Sergey Sibiryakov

Ho\v{r}ava gravity is a Lorentz-violating modification of general relativity (GR) with a preferred spacelike foliation. Observational evidence has put strong constraints on the parameter values in this model, so that the remaining viable…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Ted Jacobson , Pranav Pulakkat

We study the influence of the fluctuations of a Lorentz invariant and conserved vacuum on cosmological metric perturbations, and show that they generically blow up in the IR. We compute this effect using the K\"all\'en-Lehmann spectral…

High Energy Physics - Theory · Physics 2016-07-06 Niayesh Afshordi , Elliot Nelson

The standard model of elementary particles (SM) suffers from various problems, such as power-law ultraviolet (UV) sensitivity, exclusion of general relativity (GR), and absence of a dark matter candidate. The LHC experiments, according to…

High Energy Physics - Phenomenology · Physics 2019-08-29 Durmus Demir

Ho\v{r}ava gravity breaks Lorentz symmetry by introducing a preferred spacetime foliation, which is defined by a timelike dynamical scalar field, the khronon. The presence of this preferred foliation makes black hole solutions more…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Oscar Ramos , Enrico Barausse

It is known that local, Lorentz invariant, unitary theories involving particles with spin 1 demand that the matter sector they couple to are organized by internal physical symmetries and the associated charge conservation, while spin 3/2…

High Energy Physics - Theory · Physics 2020-08-12 Mark P. Hertzberg , Jacob A. Litterer , McCullen Sandora

While most fundamental interactions in nature are known to be mediated by quantized fields, the possibility has been raised that gravity may behave differently. Making this concept precise enough to test requires consistent models. Here we…

Quantum Physics · Physics 2023-01-23 Daniel Carney , Jacob M. Taylor

We study how quantum fluctuations of the metric in covariant Horava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz-symmetry violation induced by the breaking of…

High Energy Physics - Theory · Physics 2015-07-22 Jean Alexandre , James Brister

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts
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