Spectral action beyond the weak-field approximation

B. Iochum , C. Levy , D. Vassilevich

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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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Spectral action beyond the weak-field approximation

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