Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The evolution and persistence of dumbbells   We use large-scale numerical simulations to study the formation and evolution
of non-topological defects in a generalized electroweak phase transition
described by the Glashow-Salam-Weinberg model without fermions. Such defects
include dumbbells, comprising a pair of monopoles joined by a segment of
electroweak string. These exhibit complex dynamics, with some shrinking under
the string tension and others growing due to the monopole-antimonopole
attractions between near neighbours. We estimate the range of parameters where
the network of dumbbells persists, and show that this region is narrower than
the region within which infinite straight electroweak strings are
perturbatively stable.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci