Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electromagnetic Field Theory without Divergence Problems 2. A Least
  Invasively Quantized Theory   The classical Maxwell--Born--Infeld field equations coupled with a
Hamilton--Jacobi law of point charge motion are partially quantized by coupling
the Hamilton-Jacobi phase function with an amplitude function, which combines
with the phase function into a single complex wave function satisfying a
relativistic Klein--Gordon equation self-consistently coupled to the evolution
equations for the electromagnetic fields with generic point source (explicitly
worked out for one particle; options for many particles briefly discussed).
Radiation-free stationary states exist. The hydrogen spectrum with infinitely
massive nucleus is discussed in some detail and upper estimates for Born's
`aether constant' obtained. In the nonrelativistic limit the model reduces to
the de-Broglie--Bohm formulation of quantum mechanics.

19
The categories of this paper are: eess
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The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat