2011/10/11 by Walter D. van Suijlekom, van Suijlekom, Walter D.
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.1110.2325
In this short note we review the interpretation of the spectral action for the Yang-Mills system in noncommutative geometry as a higher-derivative gauge theory, adopting an asymptotic expansion in a cutoff parameter. We recall our previous results on superrenormalizability of the resulting higher-derivative Yang-Mills gauge theory and confront this with [6] where these very results were erroneously claimed to be incorrect. We explain how their approach differs from ours, thus clarifying the apparent mismatch.