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 …

We discuss a possible link between the deformation parameter Θ^ μ ν Θ μ ν arising in the
framework of noncommutative geometry and the parameter β β of the generalized …

This is an introductory review about the ongoing search for a signal of Lorentz Invariance
Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on …

A non-commutative version of the usual electro-weak theory is constructed. We discuss how
to overcome the two major problems:(1) although we can have non-commutative U …

We investigate a Lie algebra-type κ-deformed Minkowski spacetime with undeformed
Lorentz algebra and mutually commutative vector-like Dirac derivatives. There are infinitely …

In this paper we study general properties of non-commutative field theories obtained from
the Seiberg–Witten limit of string theories in the presence of an external B-field. We analyze …

We study Lie algebra κ-deformed Euclidean space with undeformed rotation algebra SO a
(n) and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting …

On non-commutative spacetime, the standard model (SM) allows new, usually SM forbidden,
triple gauge boson interactions to occur. In this letter we propose the SM strictly forbidden …

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black
hole, which is deformed due to noncommutative corrections. We introduce the deformed …

In this paper, we study the deformed statistics and oscillator algebras of quantum fields
defined in κ-Minkowski spacetime. The twisted flip operator obtained from the twist …