Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massive electrodynamics for London's superconductivity and Josephson
  effect   Massive electrodynamics for London's superconductivity and Josephson effect
are derived. The propagation of massive boson inside a medium yields electric
phenomena that are reflected in the Josephson effect. Critical force, magnetic
field and temperature are found to be related to the critical current of the
junction. The mass of the boson depends only on the critical current of the
junction. The electromagnetic interaction between the Cooper pairs in the two
sides of the superconductor in the josephson junction is mediated by a massive
boson. The propagation of the electromagnetic waves mediated by the massive
bosons gives rise to the electric properties of the Josephson junction. Of
these properties are a quantized resistance of Hall type corresponding to a
non-quantized magnetic flux, and a quantized capacitance. A non zero magnetic
flux encompassing a magnetic charge is found to arise despite the fact that it
is not a priori assumed.

2
The categories of this paper are: math
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess