Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on gauge vortex scattering   In the abelian Higgs model, among other situations, it has recently been
realized that the head-on scattering of $n$ solitons distributed symmetrically
around the point of scattering is by an angle $\pi/n$, independant of various
details of the scattering. In this note, it is first observed that this result
is in fact not entirely surprising: the above is one of only two possible
outcomes. Then, a generalization of an argument given by Ruback for the case of
two gauge theory vortices in the Bogomol'nyi limit is used to show that in the
geodesic approximation the above result follows from purely geometric
considerations.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga