Gauge independence of the eikonal equation in Yang-Mills gravity View Full Text


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Article Info

DATE

2015-07-27

AUTHORS

Kazuo Ota Cottrell, Jong-Ping Hsu

ABSTRACT

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 U1 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. More... »

PAGES

147

References to SciGraph publications

  • 2012-03-28. Space-time translational gauge identities in Abelian Yang-Mills gravity in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 1962-01. On the meaning of gauge invariance in IL NUOVO CIMENTO (1955-1965)
  • 2013-03-14. Experimental tests on Yang-Mills gravity with accurate measurements of the deflection of light in THE EUROPEAN PHYSICAL JOURNAL PLUS
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    http://scigraph.springernature.com/pub.10.1140/epjp/i2015-15147-8

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    http://dx.doi.org/10.1140/epjp/i2015-15147-8

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