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.
Why Renormalizable NonCommutative Quantum Field Theories?
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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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Quantum Field Theory Between Rigor and Pragmatism
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.