Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 094, 9 pages      hep-th/0606115
Contribution to the Proceedings of the O'Raifeartaigh Symposium

Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane

Aiyalam P. Balachandran and Babar Ahmed Qureshi
Department of Physics, Syracuse University, Syracuse, NY, USA

Received September 22, 2006, in final form December 14, 2006; Published online December 29, 2006

In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important results in these fields. At the end we outline some recent developments in the field.

Key words: noncommutative geometry; quantum algebra; quantum field theory.

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