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- W1624048144 abstract "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." @default.
- W1624048144 created "2016-06-24" @default.
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- W1624048144 date "2005-06-01" @default.
- W1624048144 modified "2023-09-27" @default.
- W1624048144 title "A Map from Scalar Field Theory to Integer Polynomial Solutions" @default.
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- W1624048144 hasPublicationYear "2005" @default.
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