Article ID Journal Published Year Pages File Type
10721408 Nuclear Physics B 2005 23 Pages PDF
Abstract
We propose a procedure for computing noncommutative corrections to the metric tensor, and apply it to scalar field theory written on coordinate patches of smooth manifolds. The procedure involves finding maps to the noncommutative plane where differentiation and integration are easily defined, and introducing a star product. There are star product independent, as well as dependent, corrections. Applying the procedure for two different star products, we find the lowest order fuzzy corrections to scalar field theory on a sphere which is stereographically projected to the plane.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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