A Noncommutative Generalization of the Free-Field Yang–Mills Equations
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The purpose of this paper is to propose a noncommutative generalization of a gauge connection and the free-field Yang–Mills equations. The paper draws upon the techniques proposed by Heller et al. for the noncommutative generalization of the Einstein field equations.
Key Wordsnoncommutative geometry gauge connections Yang–Mills equations groupoid algebras
- Heller, M., Pysiak, L., and Sasin, W. (2005). Noncommutative unification of general relativity and quantum mechanics. Available at www.arxiv.org/abs/gr-qc/0504014.Google Scholar