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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.
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A. A. Slavnov · 1971
Earlier work this paper cites.
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A. A. Slavnov · 1972
Earlier work this paper cites.
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S. W. Hawking · 1977
Earlier work this paper cites.
Comment on the ghost problem in a higher derivative Yang-Mills theory
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Earlier work this paper cites.
Gauge Fields. Introduction to Quantum Theory
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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P. I. Pronin and K. V. Stepanyantz · 1996
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