Geometrical Aspects of Gauge Configurations

  • A. Trautman
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 23/1981)


These notes contain an informal description of the geometrical foundations of gauge theories. The theory of gravitation is compared to theories of the Yang-Mills type. Space-time symmetries of gauge configurations are defined in terms of automorphisms of principal bundles. Symmetry breaking is related to restricting the structure group of the bundle. The Liénard-Wiechert solution of the Yang-Mills equations is discussed in some detail. An approximate solution of the Yang-Mills equations is shown to allow for the phenomenon of radiation of the colour charge by a classical gluon field.


Gauge Theory Gravitational Wave Principal Bundle Linear Connection Lens Space 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • A. Trautman
    • 1
  1. 1.Inst, of Theoretical PhysicsWarsaw Univ.WarsawPoland

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