International Journal of Theoretical Physics

, Volume 45, Issue 2, pp 350–355 | Cite as

A Noncommutative Generalization of the Free-Field Yang–Mills Equations

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Abstract

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 Words

noncommutative geometry gauge connections Yang–Mills equations groupoid algebras 

References

  1. Heller, M., Odrzygozdz, Z., Pysiak, L., and Sasin, W. (2004). Noncommutative unification of general relativity and quantum mechanics. A Finite Model. General Relativity and Gravitation 36, 111–126.MATHCrossRefADSMathSciNetGoogle Scholar
  2. 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
  3. Madore, J. (1999). An Introduction to Noncommutative Differential Geometry and its Physical Applications, 2nd edn., Cambridge University Press, Cambridge, UK.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.DorchesterUnited Kingdom

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