We present an updated review of Lorentz invariance tests in effective field theories (EFTs) in
the matter as well as in the gravity sector. After a general discussion of the role of Lorentz …

Motivated by ideas about quantum gravity, a tremendous amount of effort over the past
decade has gone into testing Lorentz invariance in various regimes. This review …

We consider the gravitational effects of a single, fixed-norm, Lorentz-violating timelike vector
field. In a cosmological background, such a vector field acts to rescale the effective value of …

Trying to combine standard quantum field theories with gravity leads to a breakdown of the
usual structure of space time at around the Planck length, 1.6× 10-35 m, with possible …

We constrain the possibility of a non-trivial refractive index in free space corresponding to an
energy-dependent velocity of light: c (E)≃ c0 (1− E/M), where M is a mass scale that might …

We review the main theoretical motivations and observational constraints on Planck scale–
suppressed violations of Lorentz invariance. After introducing the problems related to the …

In the context of threshold investigations of Lorentz violation, we discuss the fundamental
principle of coordinate independence, the role of an effective dynamical framework, and the …

It has been proposed that the incorporation of an observer independent minimal length
scale into the quantum field theories of the standard model effectively describes …

Investigations of the possibility that some novel" quantum" properties of space–time might
induce a Planck-scale modification of the energy/momentum dispersion relation focused at …

We investigate the perturbation theory of a fixed-norm, timelike Lorentz-violating vector field.
After consistently quantizing the vector field to put constraints on its parameters, we compute …