Explaining the Bohm Aharonov Effect: Vector & Scalar Potentials

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What is the physical explanation of this effect?

The interfernce region is still shifted even though, the electrons are not crossing the magnetic field.

Does that imply the vector and scalar potentials are somehow penetrating the walls of magnetic confiment. Are they new forces yet to be understood?
 
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It just means that the potentials are real things in QED.
 

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