Spectral triples are constructed for noncommutative kinematics with G_NC parameters, and localized U(1)_* gauge perturbations are shown to converge strongly in resolvent to the minimally coupled Dirac operator as cutoff radius tends to infinity.
Brezis,Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer (2011)
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From Noncommutative Kinematics to \(U(1)_{\star}\) Gauge Theory: A Family of Spectral Triples with Localized Gauge-induced Perturbations
Spectral triples are constructed for noncommutative kinematics with G_NC parameters, and localized U(1)_* gauge perturbations are shown to converge strongly in resolvent to the minimally coupled Dirac operator as cutoff radius tends to infinity.