REVIEW OF THE PHENOMENOLOGY OF NONCOMMUTATIVE GEOMETRY

2002/05/31 by I. Hinchliffe, N. Kersting, Y. L. Ma +1 · 173 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Dipole #Epistemology #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Observable #Particle physics #Particle physics theoretical and experimental studies #Phenomenology (philosophy) #Philosophy #Physics #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1142/s0217751x04017094

published in International Journal of Modern Physics A 19(02), 179-204 (World Scientific) · updated, references added, corrected typos

arxiv created 2003/05/03 · openalex publication_date 2004/01/20 · arxiv updated 2017/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

We present a pedagogical review of particle physics models that are based on the noncommutativity of space–time, [Formula: see text], with specific attention to the phenomenology these models predict in particle experiments either in existence or under development. We summarize results obtained for high energy scattering such as would occur, for example, in a future e + e - linear collider with [Formula: see text], as well as low energy experiments such as those pertaining to elementary electric dipole moments and other CP violating observables, and finally comment on the status of phenomenological work in cosmology and extra dimensions.

Citations

• Review of Particle Physics
• TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider
• The one-loop QED in Noncommutative space
• Theoretical status of the muon g-2
• Phenomenology of Non-Commutative Field Theories
• Noncommutative renormalization for massless QED
• Noncommuting Coordinates in the Landau Problem
• Noncommutativity and unitarity violation in gauge boson scattering
• Noncommutative QED and the lifetimes of ortho- and para-positronium
• The meaning of infrared singularities in noncommutative gauge theories
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R⁴
• Construction of non-Abelian gauge theories on noncommutative spaces
• Quantum Electrodynamics. III. The Electromagnetic Properties of the Electron—Radiative Corrections to Scattering
• PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
• The standard model on non-commutative space-time
• Signals for Noncommutative QED at Future e+ e- Colliders
• Lepton anomalous magnetic moments — a theory update
• Space-time noncommutativity, discreteness of time and unitarity
• Gauge theory on noncommutative spaces
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• The inclusive b→sγ decay in the noncommutative standard model
• Review of Particle Physics
• Review of Particle Physics

Cited by

• A comparison of remnants in noncommutative Bardeen black holes