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There has been a significant surge of interest in Horava's model for 3+1 dimensional quantum gravity, this model being based on anisotropic scaling at a z=3 Lifshitz point. Horava's model, and its variants, show dramatically improved…

High Energy Physics - Theory · Physics 2015-05-13 Thomas P Sotiriou , Matt Visser , Silke Weinfurtner

We consider here the possibility of quantum gravity induced violation of Lorentz symmetry (LV). Even if suppressed by the inverse Planck mass such LV can be tested by current experiments and astrophysical observations. We review the…

Astrophysics · Physics 2008-11-26 Ted Jacobson , Stefano Liberati , David Mattingly

We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form lambda phi^n, with arbitrary even n. We compute the running of the coupling constants both…

High Energy Physics - Theory · Physics 2012-02-03 Diana L. López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

Lorentz invariance belongs to the fundamental symmetries of nature. It is basic for the successful Standard Model of Particle Physics. Nevertheless, within the last decades, Lorentz invariance has been repeatedly questioned. In fact, there…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Yuri N. Obukhov , Friedrich W. Hehl

We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Kozameh , Florencia Parisi

The symmetries of a scalar field theory in multifractional spacetimes are analyzed. The free theory realizes the Poincar\'e algebra, and the associated symmetries are modifications of ordinary translations and Lorentz transformations. In…

High Energy Physics - Theory · Physics 2013-04-05 Gianluca Calcagni , Giuseppe Nardelli

Despite the tremendous empirical success of equivalence principle, there are several theoretical motivations for existence of a preferred reference frame (or aether) in a consistent theory of quantum gravity. However, if quantum gravity had…

High Energy Physics - Theory · Physics 2015-11-26 Niayesh Afshordi

Lorentz Invariance Violation introduced as a generic modification to particle dispersion relations is used to study high energy cosmic ray attenuation processes. It is shown to reproduce the same physical effects for vacuum Cherenkov…

High Energy Astrophysical Phenomena · Physics 2017-03-09 H. Martínez-Huerta , A. Pérez-Lorenzana

We show that the running of gravitational couplings, together with a suitable identification of the renormalization group scale can give rise to modified dispersion relations for massive particles. This result seems to be compatible with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Girelli , S. Liberati , R. Percacci , C. Rahmede

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

We consider the branch of the projectable Horava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong…

High Energy Physics - Theory · Physics 2016-06-29 S. Ramazanov , F. Arroja , M. Celoria , S. Matarrese , L. Pilo

Investigations of the possibility that some novel ``quantum" properties of spacetime might induce a modification dispersion relation focused at first on scenarios with Planck-scale violations of Lorentz symmetry. More recently several…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia , Jerzy Kowalski-Glikman , Gianluca Mandanici , Andrea Procaccini

We study perturbative unitarity in the scalar sector of the Myers-Pospelov model. The model introduces a preferred four-vector $n$ which breaks Lorentz symmetry and couples to a five-dimension operator. When the preferred four-vector is…

High Energy Physics - Theory · Physics 2018-09-12 Leonardo Balart , Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

Scale invariant fluctuations of metric are universal feature of quantum gravity in de Sitter spacetime. We construct an effective Lagrangian which summarizes their implications on local physics by integrating super-horizon metric…

High Energy Physics - Theory · Physics 2017-02-01 Hiroyuki Kitamoto , Yoshihisa Kitazawa

A proposal for a power-counting renormalizable theory of quantum gravity at a Lifshitz point was recently put forth by Horava (arXiv:0901.3775), and has been since dubbed as Horava-Lifshitz gravity. The theory explicitly breaks Lorentz…

High Energy Physics - Theory · Physics 2009-11-05 Niayesh Afshordi

We revisit the mixed derivative extension of Ho\v{r}ava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimal theory with mixed derivative terms…

High Energy Physics - Theory · Physics 2016-10-12 Andrew Coates , Mattia Colombo , A. Emir Gumrukcuoglu , Thomas P. Sotiriou

Horava's "Lifschitz point gravity" has many desirable features, but in its original incarnation one is forced to accept a non-zero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of…

High Energy Physics - Theory · Physics 2009-07-22 Thomas P. Sotiriou , Matt Visser , Silke Weinfurtner

Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single…

High Energy Physics - Theory · Physics 2009-11-11 Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama , Jesse Thaler

In a quantum theory of gravity, fluctuations about the vacuum may be considered as Planck scale virtual black holes appearing and annihilating in pairs. Incident fields scattering from such fluctuations would lose quantum coherence. In a…

High Energy Physics - Theory · Physics 2009-10-31 T Prestidge

In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Chikun Ding , Changqing Liu