Is the Dirac string continuous?
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Yes - the Dirac string, which is a discontinuity of the vector potential, is a continuous 1-d curve that runs from the location of the monopole all the way to spatial infinity.
It is like an infinitely thin solenoid, with a magnetic flux that cancels the monopole magnetic flux. This is required if you want to maintain the magnetic field free of divergences.
It’s consistent in QED, and the string is unobservable if the Dirac quantization condition is satisfied.
It is like an infinitely thin solenoid, with a magnetic flux that cancels the monopole magnetic flux. This is required if you want to maintain the magnetic field free of divergences.
It’s consistent in QED, and the string is unobservable if the Dirac quantization condition is satisfied.
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In physics, a Dirac stringis a hypothetical one-dimensional curve in space, conceived of by the physicist Paul Dirac, stretching between two Dirac magnetic monopoles with opposite magnetic charges, or from one magnetic monopole out to infinity.
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