Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Quantum Noncommutative $\kappa$-deformed Field Theory   We introduce new $\kappa$-star product describing the multiplication of
quantized $\kappa$-deformed free fields. The $\kappa$-deformation of local free
quantum fields originates from two sources: noncommutativity of space-time and
the $\kappa$-deformation of field oscillators algebra - we relate these two
deformations. We demonstrate that for suitable choice of $\kappa$-deformed
field oscillators algebra the $\kappa$-deformed version of microcausality
condition is satisfied, and it leads to the deformation of the Pauli-Jordan
commutation function defined by the $\kappa$-deformed mass shell. We show by
constructing the $\kappa$-deformed Fock space that the use of $\kappa$-deformed
oscillator algebra permits to preserve the bosonic statistics of n-particle
states. The proposed star product is extended to the product of $n$ fields,
which for $n=4$ defines the interaction vertex in perturbative description of
noncommutative quantum $\lambda\phi^4$ field theory. It appears that the
classical fourmomentum conservation law is satisfied at the interaction
vertices.

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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph