Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous Transitions Between Quantum and Classical Electrodynamics   The Maxwell equations in the presence of sources are first derived without
making use of the potentials and the Hamilton-Jacobi equation for classical
electrodynamics is written down. The manifestly gauge invariant theory is then
quantized to write down the Hamilton-Jacobi equation in quantum
electrodynamics. Finally, an interpolating field theory is proposed that
describes continuous transitions between quantum and classical electrodynamics.
It is shown that energy flow lines are identical for quantum and classical
fields in the case of the double-slit arrangement but differ in the case of
vortex beams.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat