Fuzzy Actions and their Continuum Limits

Details Fuzzy Actions and their Continuum Limits Fuzzy Actions and their Continuum Limits

2000-07-04

arxiv.org/abs/hep-th/0007030v1

Int.J.Mod.Phys. A16 (2001) 2577-2594

Physics

High Energy Physics

High Energy Physics - Theory

14 pages LaTeX

Scientific paper

10.1142/S0217751X01003482

Previously matrix model actions for ``fuzzy'' fields have been proposed using non-commutative geometry. They retained ``topological'' properties extremely well, being capable of describing instantons, $\theta$--states, the chiral anomaly, and even chiral fermions with no ``doubling''. Here, we demonstrate that the standard scalar and spinor actions on a $d$--dimensional manifold are recovered from such actions in the limit of large matrices if their normalizations are correctly scaled as the limit is taken.

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