International Journal of Theoretical Physics

, Volume 18, Issue 2, pp 107–112 | Cite as

A note on conformal field equations

  • A. Z. Jadczyk


Conformal geometry is more fundamental than a Riemannian one. Whereas Riemannian geometry determines lengths and angles, a conformal one determines only angles and ratios of length. Equivalently, conformal geometry of space-time determines light cones, or causal structure. No length scale isa priori distinguished. It can be distinguished onlya posteriori, given a particular solution of matter field equations. Einstein's field equations of gravitation can be thought of as describing interaction of causal structure with a matter described by a real scalar massless field of weight 1/4. Electromagnetic field equations need precisely a conformal structure. One can also write down field equations for a spin-1/2 Dirac massless field, given information about light cones only. The energy-momentum tensor density is obtained by vierbeim variations.


Field Theory Quantum Field Theory Electromagnetic Field Field Equation Light Cone 
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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • A. Z. Jadczyk
    • 1
  1. 1.Institute of Theoretical PhysicsUniversity of WrocławWrocławPoland

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