Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptocic Freedom of Gluons in Hamiltonian Dynamics   We derive asymptotic freedom of gluons in terms of the renormalized $SU(3)$
Yang-Mills Hamiltonian in the Fock space. Namely, we use the renormalization
group procedure for effective particles (RGPEP) to calculate the three-gluon
interaction term in the front-form Yang-Mills Hamiltonian using a perturbative
expansion in powers of $g$ up to third order. The resulting three-gluon vertex
is a function of the scale parameter $s$ that has an interpretation of the size
of effective gluons. The corresponding Hamiltonian running coupling constant
exhibits asymptotic freedom, and the corresponding Hamiltonian $\beta$-function
coincides with the one obtained in an earlier calculation using a different
generator.

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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex