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Why Renormalizable NonCommutative Quantum Field Theories?

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arxiv 0711.1748 v1 pith:XNHUM65X submitted 2007-11-12 math-ph math.MP

Vincent Rivasseau This is my paper · ORCID
classification math-phmath.MP
keywords fieldtheoryenergygrosse-wulkenhaarnoncommutativetheoriesaproachcommutative
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 5 citations worldwide. Full citation record

  1. Quantum Field Theory Between Rigor and Pragmatism

    physics.hist-ph 2025-05 conditional novelty 4.0 of 10

    A realism quotient, the share of a theory's mathematics taken to be real, is proposed as a historical and normative guide: it rises with experimental resolution, and quantum field theory's two rival programs should converge.

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