Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Yang-Mills-Higgs actions from derivation-based
  differential calculus   Derivations of a noncommutative algebra can be used to construct differential
calculi, the so-called derivation-based differential calculi. We apply this
framework to a version of the Moyal algebra ${\cal{M}}$. We show that the
differential calculus, generated by the maximal subalgebra of the derivation
algebra of ${\cal{M}}$ that can be related to infinitesimal symplectomorphisms,
gives rise to a natural construction of Yang-Mills-Higgs models on ${\cal{M}}$
and a natural interpretation of the covariant coordinates as Higgs fields. We
also compare in detail the main mathematical properties characterizing the
present situation to those specific of two other noncommutative geometries,
namely the finite dimensional matrix algebra $M_n({\mathbb{C}})$ and the
algebra of matrix valued functions $C^\infty(M)\otimes M_n({\mathbb{C}})$. The
UV/IR mixing problem of the resulting Yang-Mills-Higgs models is also
discussed.

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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: stat