54 research outputs found
Localizing gauge theories from noncommutative geometry
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155772.pdf (publisher's version ) (Closed access)
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155772-pre.pdf (preprint version ) (Open Access
Renormalization of the asymptotically expanded Yang-Mills spectral action
We study renormalizability aspects of the spectral action for the Yang-Mills
system on a flat 4-dimensional background manifold, focusing on its asymptotic
expansion. Interpreting the latter as a higher-derivative gauge theory, a
power-counting argument shows that it is superrenormalizable. We determine the
counterterms at one-loop using zeta function regularization in a background
field gauge and establish their gauge invariance. Consequently, the
corresponding field theory can be renormalized by a simple shift of the
spectral function appearing in the spectral action.
This manuscript provides more details than the shorter companion paper, where
we have used a (formal) quantum action principle to arrive at gauge invariance
of the counterterms. Here, we give in addition an explicit expression for the
gauge propagator and compare to recent results in the literature.Comment: 28 pages; revised version. To appear in CMP. arXiv admin note:
substantial text overlap with arXiv:1101.480
Spectral action beyond the weak-field approximation
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, , the action decays as in any even
dimension.Comment: 17 pages Few misprints correcte
Renormalizability Conditions for Almost-Commutative Manifolds
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117200.pdf (preprint version ) (Open Access
Combinatorics and Feynman graphs for gauge theories
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91648.pdf (author's version ) (Open Access
The spectral model of particle physics
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135167.pdf (publisher's version ) (Open Access
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