Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Theory of 2-Dimensional Quantum Vortex Gas: Non-Canonical
  Effect and Generalized Zeta Function   The purpose of this paper is to present a quantum statistical theory of
2-dimensional vortex gas based on the generalized Hamiltonian dynamics recently
developed. The quantized spectrum is evaluated for a pair of vortex on the
basis of the semiclassical quantization rule. This is used to evaluate the
partition function for a dilute vortex gas. A remarkable consequence is that
the partition function and related quantities are given in terms of the
generalized Riemann zeta function. The topological phase transition is
naturally understood as the pole structure of the zeta function.

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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th