Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf algebra, thermodynamics and entanglement in quantum field theory   The quantum deformation of the Hopf algebra describes the skeleton of quantum
field theory, namely its characterizing feature consisting in the existence of
infinitely many unitarily inequivalent representations of the canonical
commutation relations. From this we derive the thermal properties of quantum
field theory, with the entropy playing the role of the generator of the
non-unitary time evolution. The entanglement of the quantum vacuum appears to
be robust against interaction with the environment: on cannot ``unknot the
knots" in the infinite volume limit.

34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th