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arXiv · hep-th/0007030

Fuzzy Actions and their Continuum Limits

A. P. Balachandran·X. Martin·Denjoe O'Connor
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Abstract

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, $θ$--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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A. P. Balachandran, X. Martin, Denjoe O'Connor. 2000-07-04. Fuzzy Actions and their Continuum Limits. https://doi.org/10.1142/s0217751x01003482

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