Quantum field theory on noncommutative spaces

RJ Szabo - Physics Reports, 2003 - Elsevier
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 …

Review of the phenomenology of noncommutative geometry

I Hinchliffe, N Kersting, YL Ma - International Journal of Modern …, 2004 - World Scientific
We present a pedagogical review of particle physics models that are based on the
noncommutativity of space–time,, with specific attention to the phenomenology these models …

Signals for noncommutative interactions at linear colliders

JAL Hewett, FJ Petriello, TG Rizzo - Physical Review D, 2001 - APS
Recent theoretical results have demonstrated that noncommutative geometries naturally
appear within the context of string or M theory. One consequence of this possibility is that …

Non-commutative standard model: model building

M Chaichian, P Presnajder, MM Sheikh-Jabbari… - The European Physical …, 2003 - Springer
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 …

Nonabelian noncommutative gauge theory via noncommutative extra dimensions

B Jurčo, P Schupp, J Wess - Nuclear Physics B, 2001 - Elsevier
The concept of covariant coordinates on noncommutative spaces leads directly to gauge
theories with generalized noncommutative gauge fields of the type that arises in string …

[HTML][HTML] Noncommutative gauge field theories: A no-go theorem

M Chaichian, P Prešnajder, MM Sheikh-Jabbari… - Physics Letters B, 2002 - Elsevier
Studying the general structure of the noncommutative (NC) local groups, we prove a no-go
theorem for NC gauge theories. According to this theorem, the closure condition of the …

Noncommutative field theories and (super) string field theories

IY Aref'eva, DM Belov, AA Giryavets… - Particles and …, 2002 - World Scientific
In this lecture notes we explain and discuss some ideas concerning noncommutative
geometry in general, as well as noncommutative field theories and string field theories. We …

Non-renormalizability of θ-expanded noncommutative QED

R Wulkenhaar - Journal of High Energy Physics, 2002 - iopscience.iop.org
Computing all divergent one-loop Green's functions of θ-expanded non-commutative
quantum electrodynamics up to first order in θ, we show that this model is not …

The one-loop renormalization of the gauge sector in the θ-expanded noncommutative standard model

M Burić, V Radovanović… - Journal of High Energy …, 2007 - iopscience.iop.org
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 …

Noncommutativity and unitarity violation in gauge boson scattering

JL Hewett, FJ Petriello, TG Rizzo - Physical Review D, 2002 - APS
We examine the unitarity properties of spontaneously broken noncommutative gauge
theories. We find that the symmetry breaking mechanism in the noncommutative standard …