Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac field on Moyal-Minkowski spacetime and non-commutative potential
  scattering   The quantized free Dirac field is considered on Minkowski spacetime (of
general dimension). The Dirac field is coupled to an external scalar potential
whose support is finite in time and which acts by a Moyal-deformed
multiplication with respect to the spatial variables. The Moyal-deformed
multiplication corresponds to the product of the algebra of a Moyal plane
described in the setting of spectral geometry. It will be explained how this
leads to an interpretation of the Dirac field as a quantum field theory on
Moyal-deformed Minkowski spacetime (with commutative time) in a setting of
Lorentzian spectral geometries of which some basic aspects will be sketched.
The scattering transformation will be shown to be unitarily implementable in
the canonical vacuum representation of the Dirac field. Furthermore, it will be
indicated how the functional derivatives of the ensuing unitary scattering
operators with respect to the strength of the non-commutative potential induce,
in the spirit of Bogoliubov's formula, quantum field operators (corresponding
to observables) depending on the elements of the non-commutative algebra of
Moyal-Minkowski spacetime.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat