Spectral action beyond the weak-field approximation

preprint2012arXivOpen access

Abstract

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→∞p\to\infty, the action decays as 1/p41/p^4 in any even dimension.

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