Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative field theory in formalism of first quantization   We present a first-quantized formulation of the quadratic non-commutative
field theory in the background of abelian (gauge) field. Even in this simple
case the Hamiltonian of a propagating particle depends non-trivially on the
momentum (since external fields depend on location of the Landau orbit) so that
one can not integrate out momentum to obtain a local theory in the second order
formalism. The cases of scalar and spinning particles are considered. A
representation for exact propagators is found and the result is applied to
description of the Schwinger-type processes (pair-production in homogenous
external field).

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an