Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: \b{eta}-KMS Green functions generating functionals - the convexity based
  approach   The notion of the stochastically positive \b{eta}-KMS (Euclidean time ) Green
functionals on ( the abelian sectors of ) the CCR-algebras in Weyl form has
been introduced .The main observation is that the essential properties of such
functionals are stable against taking convex superpositions of them. Starting
from the free Bose matter describing functionals( the condensed state situation
is included as well) a constructive approach to the constructions of a new ,of
such type functionals is presented. In particular , starting from the free Bose
matter Green functionals a class of not quasi-free thermal functionals,
together with the corresponding modular structures have been constructed. Some
elementary properties of models constructed are being presented.

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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci