Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory.
  II   Classical results of the axiomatic quantum field theory, namely the
irreducibility of the set of field operators, Reeh and Schlieder's theorems and
generalized Haag's theorem, are proven in $SO(1,1)$ invariant quantum field
theory, of which an important example is noncommutative quantum field theory.
New consequences of generalized Haag's theorem are obtained in $SO(1,3)$
invariant theories. It has been proven that the equality of four-point Wightman
functions in two theories leads to the equality of elastic scattering
amplitudes and thus the total cross-sections in these theories.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph