Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical vacuum selection in field theories with flat directions in
  their potential   In this paper we show that in field theories with topologically stable kinks
and flat directions in their potential, a so-called dynamical vacuum selection
(DVS) takes place in the non-trivial, soliton sector of the theory. We explore
this DVS mechanism using a specific model. For this model we show that there is
only a static kink solution when very specific boundary conditions are met,
very similar to the case of vortices in two dimensions. In the case of other
boundary conditions a scalar cloud is expelled to infinity, leaving a static
kink behind. Other circumstances under which DVS may or may not take place are
discussed as well.

33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th