Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axiomatics of classical electrodynamics and its relation to gauge field
  theory   We give a concise axiomatic introduction into the fundamental structure of
classical electrodynamics: It is based on electric charge conservation, the
Lorentz force, magnetic flux conservation, and the existence of local and
linear constitutive relations. The {\it inhomogeneous} Maxwell equations,
expressed in terms of $D^i$ and $H_i$, turn out to be a consequence of electric
charge conservation, whereas the {\it homogeneous} Maxwell equations, expressed
in terms of $E_i$ and $B^i$, are derived from magnetic flux conservation and
special relativity theory. The excitations $D^i$ and $H_i$, by means of
constitutive relations, are linked to the field strengths $E_i$ and $B^i$.
Eventually, we point out how this axiomatic approach is related to the
framework of gauge field theory.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin