Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness and scattering of the (4+1)-dimensional
  Maxwell-Klein-Gordon equation   This article constitutes the final and main part of a three-paper sequence,
whose goal is to prove global well-posedness and scattering of the energy
critical Maxwell-Klein-Gordon equation (MKG) on $\mathbb{R}^{1+4}$ for
arbitrary finite energy initial data. Using the successively stronger
continuation/scattering criteria established in the previous two papers, we
carry out a blow-up analysis and deduce that the failure of global
well-posedness and scattering implies the existence of a nontrivial stationary
or self-similar solution to MKG. Then, by establishing that such solutions do
not exist, we complete the proof.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph