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Why Renormalizable NonCommutative Quantum Field Theories?

2007/11/12 by Vincent Rivasseau, Rivasseau, Vincent
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.0711.1748

openalex publication_date 2007/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We complete our previous recent review on noncommutative field theory, discussing in particular the constructive aproach to the Grosse-Wulkenhaar theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories at high energy one can obtain an effective commutative field theory at lower energy.

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