Gauge independence of the eikonal equation in Yang-Mills gravity

  • Kazuo Ota Cottrell
  • Jong-Ping Hsu
Regular Article


When one takes the geometric-optics limit of Maxwell’s wave equations in Yang-Mills gravity, one arrives at a new eikonal equation. Although we cannot perform the usual electromagnetic gauge transformation to the eikonal equation, we have the same equation for a wide class of gauge conditions, including the non-covariant temporal and axial gauges. We also show the presence of a small correction term if the large frequency limit is not taken. This small term suggests a frequency dependence in the deflection of light experiment. Moreover, there is a small violation of the electromagnetic U 1 gauge symmetry by gravity. This violation is crucial for the emergence of an effective Riemannian metric tensor associated with the new eikonal equation in Yang-Mills gravity. The results are consistent with known experiments and more accurate experiments in the future are required to test them.


Gauge Transformation Gauge Condition Gauge Parameter Eikonal Equation Radar Frequency 
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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Massachusetts DartmouthNorth DartmouthUSA

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