Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards an operator-algebraic construction of integrable global gauge
  theories   The recent construction of integrable quantum field theories on
two-dimensional Minkowski space by operator-algebraic methods is extended to
models with a richer particle spectrum, including finitely many massive
particle species transforming under a global gauge group. Starting from a
two-particle S-matrix satisfying the usual requirements (unitarity, Yang-Baxter
equation, Poincar\'e and gauge invariance, crossing symmetry, ...), a pair of
relatively wedge-local quantum fields is constructed which determines the field
net of the model. Although the verification of the modular nuclearity condition
as a criterion for the existence of local fields is not carried out in this
paper, arguments are presented that suggest it holds in typical examples such
as nonlinear O(N) sigma-models. It is also shown that for all models complying
with this condition, the presented construction solves the inverse scattering
problem by recovering the S-matrix from the model via Haag-Ruelle scattering
theory, and a proof of asymptotic completeness is given.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org