Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and Stability of Non-Trivial Scalar Field Configurations in
  Orbifolded Extra Dimensions   We consider the existence and stability of static configurations of a scalar
field in a five dimensional spacetime in which the extra spatial dimension is
compactified on an $S^1/Z_2$ orbifold. For a wide class of potentials with
multiple minima there exist a finite number of such configurations, with total
number depending on the size of the orbifold interval. However, a
Sturm-Liouville stability analysis demonstrates that all such configurations
with nodes in the interval are unstable. Nodeless static solutions, of which
there may be more than one for a given potential, are far more interesting, and
we present and prove a powerful general criterion that allows a simple
determination of which of these nodeless solutions are stable. We demonstrate
our general results by specializing to a number of specific examples, one of
which may be analyzed entirely analytically.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio