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Gauge symmetry breaking

  1. Oct 28, 2015 #1


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    Can there be interactions that are symmetric under low temperatures but exhibit spontaneous symmetry breaking under extremely low temperatures? (Maybe that symmetry breaking temperature is so low that it couldn't be discovered in experiments)
    Does electromagnetism split into electricity and magnetism under ideal conditions?
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  3. Oct 28, 2015 #2

    Vanadium 50

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    Electromagnetism "splits into" electricity and magnetism under ordinary conditions. Pre-19th century, they were thought to be two different phenomena.
  4. Oct 29, 2015 #3
    I don't think electromagnetism splits into anything.

    Its four-vector potential just has a temporal component, and three spatial ones. We perceive temporal component as electrostatic potential, and spatial ones as magnetic vector potential. But they are not independent or invariant fields, they are projections of a single field onto your particular frame of reference's time and space subspaces

    That's why stationary charges have only electric field (temporal component), but when observer starts moving, magnetic field "magically appears" - by Lorentz transform, for this observer temporal component partially "spilled into" spatial ones.
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