Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces   We present the exact solution of a scalar field theory defined with
noncommuting position and momentum variables. The model describes charged
particles in a uniform magnetic field and with an interaction defined by the
Groenewold-Moyal star-product. Explicit results are presented for all Green's
functions in arbitrary even spacetime dimensionality. Various scaling limits of
the field theory are analysed non-perturbatively and the renormalizability of
each limit examined. A supersymmetric extension of the field theory is also
constructed in which the supersymmetry transformations are parametrized by
differential operators in an infinite-dimensional noncommutative algebra.

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The categories of this paper are: eess
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys