A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

An introductory review to emergent noncommutative gravity within Yang–Mills matrix models
is presented. Spacetime is described as a noncommutative brane solution of the matrix …

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 …

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 …

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 …

A pedagogical introduction to some of the main ideas and results of field theories on
quantized spacetimes is presented, with emphasis on what such field theories may teach us …

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 …

We verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in
terms of an induced gravity action, as predicted by the identification [1] of gravity within …

Recent perturbative studies show that in 4d non-commutative spaces, the trivial (classically
stable) vacuum of gauge theories becomes unstable at the quantum level, unless one …

In this paper we construct a version of the standard model gauge sector on noncommutative
space-time which is one-loop renormalizable to first order in the expansion in the …