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arxiv: 1108.3749 · v2 · pith:IGZBNVS6new · submitted 2011-08-18 · ✦ hep-th · math-ph· math.MP

Spectral action beyond the weak-field approximation

classification ✦ hep-th math-phmath.MP
keywords actionspectralapproximationbeyondcommutativecomputedcovariantlydecays
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The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, $p\to\infty$, the action decays as $1/p^4$ in any even dimension.

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    Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.