Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological structures in a non-canonical perturbative dynamics of a
  cuscuton-like model   In this work, a possible description for quantum dynamics of the cuscuton
within the sigma-model approach is presented. Lower order perturbative
corrections and the structure of divergences are found. Motivated by the
results generated by the perturbative approach, we investigate the existence of
topological structures in the cuscuton-like model. The structures we study are,
first, kink-like configurations in two dimensional spacetime, second, vortex
solutions in three dimensional one with gauge field ruled by the Maxwell term.
In fact, to show the existence of kink solutions it is needed to introduce a
standard dynamics term in the cuscuton-like model. Then, a numerical approach
(interpolation method) is used and the solution of the scalar field is
presented. On the other hand, for the study of topological vortices, we
reorganized the energy density to obtain, for convenience, equations similar to
those canonical vortex structures, namely, the Maxwell-Higgs model. In fact,
even for this particular case, we observed the existence of structures with
localized energy and quantized magnetic flux in a given topological sector. We
also show that when the model does not spontaneously break the symmetry, the
$(2+1)D$ model only admits the so-called non-topological field solutions.

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The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph