Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane

Physics – High Energy Physics – High Energy Physics - Theory

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This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (

Scientific paper

10.3842/SIGMA.2006.094

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.

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