Aiyalam P. Balachandran, Babar Ahmed Qureshi, “Noncommutative Geometry: Fuzzy Spaces, the Groenewold–Moyal Plane”, SIGMA, 2006, Volume 2,094, 9 pp.

This article is cited in 2 papers

Noncommutative Geometry: Fuzzy Spaces, the Groenewold–Moyal Plane

Aiyalam P. Balachandran, Babar Ahmed Qureshi

Department of Physics, Syracuse University, Syracuse, NY, USA

Abstract: 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.

Keywords: noncommutative geometry; quantum algebra; quantum field theory.

MSC: 81R60; 46L65

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

Language: English

DOI: 10.3842/SIGMA.2006.094