Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
arXiv:hep-th/0606115 · doi:10.3842/SIGMA.2006.094
Abstract
In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenwald-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important results in these fields. In the end we outline some recent developments in the field.
This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
References in corpus (6)
- A Gravity Theory on Noncommutative Spaces
- Statistics and UV-IR Mixing with Twisted Poincare Invariance
- Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
- Remarks on twisted noncommutative quantum field theory
- Deformed Bialgebra of Diffeomorphisms
- Twisted Supersymmetry, Fermion-Boson Mixing and Removal of UV-IR Mixing