Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the degrees of freedom of lattice electrodynamics   Using Euler's formula for a network of polygons for 2D case (or polyhedra for
3D case), we show that the number of dynamic\textit{\}degrees of freedom of the
electric field equals the number of dynamic degrees of freedom of the magnetic
field for electrodynamics formulated on a lattice. Instrumental to this
identity is the use (at least implicitly) of a dual lattice and of a (spatial)
geometric discretization scheme based on discrete differential forms. As a
by-product, this analysis also unveils a physical interpretation for Euler's
formula and a geometric interpretation for the Hodge decomposition.

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The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
2
The categories of this paper are: math
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin