The Noncommutative Geometry of Electrodynamics

  • Walter D van SuijlekomEmail author
Part of the Mathematical Physics Studies book series (MPST)


In the previous chapters we have described the general framework for the description of gauge theories in terms of noncommutative manifolds.


Gauge Theory Gauge Group Dirac Operator Gauge Field Noncommutative Geometry 
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Supplementary material


  1. 1.
    Connes A.: Essay on physics and noncommutative geometry. In: The interface of mathematics and particle physics (Oxford, 1988), vol. 24 of Inst. Math. Appl. Conf. Ser. New Ser. Oxford University Press, New York, pp. 9–48 (1990)Google Scholar
  2. 2.
    Connes, A., Lott, J.: Particle models and noncommutative geometry. Nucl. Phys. Proc. Suppl. 18B, 29–47 (1991)CrossRefMathSciNetADSGoogle Scholar
  3. 3.
    Barrett, J.W.: A Lorentzian version of the non-commutative geometry of the standard model of particle physics. J. Math. Phys. 48, 012303 (2007)CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    Connes A.: On the foundations of noncommutative geometry. In The unity of mathematics, vol. 244 of Progr. Math. Birkhäuser Boston, Boston, pp. 173–204 (2006)Google Scholar
  5. 5.
    Landi G.: An Introduction to Noncommutative Spaces and their Geometry. Springer, New York (1997)Google Scholar
  6. 6.
    Bhowmick, J., D’Andrea, F., Das, B., Dabrowski, L.: Quantum gauge symmetries in Noncommutative, Geometry, arXiv:1112.3622
  7. 7.
    Kaluza T.: Zum Unitätsproblem in der Physik. Sitzungsber. Preuss. Akad. Wiss. Berlin (Math.Phys.) 1921, 966–972 (1921)Google Scholar
  8. 8.
    Klein, O.: Quantentheorie und fünfdimensionale relativitätstheorie. Z. Phys. 37, 895–906 (1926)CrossRefzbMATHADSGoogle Scholar
  9. 9.
    Kane, G.L.: Modern Elementary Particle Physics. Perseus, London (1993)Google Scholar
  10. 10.
    Chamseddine, A.H., Connes, A., Van Suijlekom, W.D.: Inner fluctuations in noncommutative geometry without the first order condition. J. Geom. Phys. 73, 222–234 (2013)CrossRefzbMATHMathSciNetADSGoogle Scholar
  11. 11.
    Berezin, F.A.: The method of second quantization. Translated from the Russian by Nobumichi Mugibayashi and Alan Jeffrey. Pure and Applied Physics, vol. 24. Academic Press, New York (1966)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.IMAPPRadboud University NijmegenNijmegenThe Netherlands

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