Galilean Covariance versus Gauge Invariance

Details Galilean Covariance versus Gauge Invariance Galilean Covariance versus Gauge Invariance

2009-12-11

arxiv.org/abs/0912.2360v1

Physics

Classical Physics

4 pages

Scientific paper

We demonstrate for the first time and unexpectedly that the Principle of Relativity dictates the choice of the "gauge conditions" in the canonical example of a Gauge Theory namely Classical Electromagnetism. All the known "gauge conditions" of the literature are interpreted physically as electromagnetic continuity equations hence the "gauge fields". The existence of a Galilean Electromagnetism with TWO dual limits ("electric" and "magnetic") is the crux of the problem [1]. A phase-space with the domains of validity of the various "gauge conditions" is provided and is shown to depend on three characteristic times : the magnetic diffusion time, the charge relaxation time and the transit time of electromagnetic waves in a continuous medium [2].

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