Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory

Abstract

We give a noncommutative version of the complex projective space CP^2 and show that scalar QFT on this space is free of UV divergencies. The tools necessary to investigate Quantum fields on this fuzzy CP^2 are developed and possibilities to introduce spinors and Dirac operators are discussed.

16 pages, 1 figure

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