Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Map from Scalar Field Theory to Integer Polynomial Solutions   The terms in the quantum scattering in scalar field theory models is
parameterized by the invariants $\prod s_{ij}^{n_{ij}}$. The $s_{ij}$ are
kinematic two-particle invariants, and the $n_{ij}$ are integers. The
coefficients of these terms are computed via integrating all Feynman diagrams,
or within the derivative expansion by solving the iteration equations. The
latter has been provided recently; the functions which are prefactors of the
individual terms $\prod s_{ij}^{n_{ij}}$ can be interpreted as terms in the
expansions of L-series, which may be specified by collections of their zeroes.
Once finding the appropriate elliptic curve coefficients, these quantum field
solutions provide an algorithm to determining all of the mod p zeros to the
algebraic curves. The latter is presumably determined by 'experimental'
computer modeling or by the appropriate determination of the quantum
prefactors.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph