Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclearity and split for thermal quantum field theories   We review the heuristic arguments suggesting that any thermal quantum field
theory, which can be interpreted as a quantum statistical mechanics of
(interacting) relativistic particles, obeys certain restrictions on its number
of local degrees of freedom. As in the vacuum representation, these
restrictions can be expressed by a `nuclearity condition'. If a model satisfies
this nuclearity condition, then the net of von Neumann algebras representing
the local observables in the thermal representation has the split property.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ