Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-constant ground states for symmetry-breaking fields in brane world
  models   We obtain an approximate analytical solution for the ground state of a bulk
scalar field with a double-well potential in the Randall-Sundrum brane world
background, in a situation where the boundary conditions rule out a constant
field configuration except for the zero solution. The stability of the zero
solution is determined by the brane separation. We find our approximation near
the critical separation at which the zero solution becomes unstable to small
perturbations.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol