Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconditioning in Discrete Quantum Field Theory   We consider a discrete scalar, quantum field theory based on a cubic
4-dimensional lattice. We mainly investigate a discrete scattering operator
$S(x_0,r)$ where $x_0$ and $r$ are positive integers representing time and
maximal total energy, respectively. The operator $S(x_0,r)$ is used to define
transition amplitudes which are then employed to compute transition
probabilities. These probabilities are conditioned on the time-energy
$(x_0,r)$. In order to maintain total unit probability, the transition
probabilities need to be reconditioned at each $(x_0,r)$. This is roughly
analogous to renormalization in standard quantum field theory, except no
infinities or singularities are involved. We illustrate this theory with a
simple scattering experiment involving a common interaction Hamiltonian. We
briefly mention how discreteness of spacetime might be tested astronomically.
Moreover, these tests may explain the existence of dark energy and dark matter.

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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol