Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Quantization for a Relativistic Neutral Scalar Field in
  Non-equilibrium Thermo Field Dynamics   A relativistic neutral scalar field is investigated in non-equilibrium thermo
field dynamics. The canonical quantization is applied to the fields out of
equilibrium. Because the thermal Bogoliubov transformation becomes
time-dependent, the equations of motion for the ordinary unperturbed creation
and annihilation operators are modified. This forces us to introduce a thermal
counter term in the interaction Hamiltonian which generates additional
radiative corrections. Imposing the self-consistency renormalization condition
on the total radiative corrections, we obtain the quantum Boltzmann equation
for the relativistic scalar field.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: math