We present the state of the art regarding the relation between the physics of Quantum Black
Holes and Noncommutative Geometry. We start with a review of models proposed in the …

We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …

Ultraviolet finite quantum field theory on even-dimensional noncommutative spacetime is
formulated using coordinate coherent states. 2D spacetime is foliated into families of …

A bstract The persistence of the hierarchy problem points to a violation of effective field
theory expectations. A compelling possibility is that this results from a physical breakdown of …

In this book, we review various aspects of the Lorentz symmetry breaking, both classical and
quantum ones, with the special interest to perturbative generation of Lorentz-breaking terms …

In this paper we investigate the trace anomaly in a space-time where single events are
delocalized as a consequence of short distance quantum coordinate fluctuations. We obtain …

Colladay and Kostelecký have proposed a framework for studying Lorentz and CPT violation
in a natural extension of the standard model. Although numerous bounds exist on the …

We study some physical consequences of the introduction of a Lorentz-violating modification
term in the linearized gravity, which leads to modified dispersion relations for gravitational …

We begin this thesis with an extensive pedagogical introduction aimed at clarifying the
foundations of the hierarchy problem. After introducing effective field theory, we discuss …

Noncommutative field theories with commutator of the coordinates of the form [x μ, x ν]= i Λ ω
μν x ω with nilpotent structure constants are studied and shown that a free quantum field …