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Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory

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arxiv hep-th/9902138 v1 pith:63QPFVUV submitted 1999-02-19 hep-th

classification hep-th
keywords quantumspacecomplexcovariantdevelopeddiracdiscusseddivergencies
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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.

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  1. Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

    hep-th 2026-08 conditional novelty 6.0 of 10

    A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

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