Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Role of the non-locality of the vector potential in the Aharonov-Bohm
  effect   When the electromagnetic potentials are expressed in the Coulomb gauge in
terms of the electric and magnetic fields rather than the sources responsible
for these fields they have a simple form that is non-local i.e. the potentials
depend on the fields at every point in space. It is this non-locality of
classical electrodynamics that is at first instance responsible for the puzzle
associated with the Aharonov-Bohm effect: that its interference pattern is
affected by fields in a region of space that the electron beam never enters.

21
The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg