A Map from Scalar Field Theory to Integer Polynomial Solutions
| dc.creator | Chalmers, Gordon | |
| dc.date | 2005-06-01 | |
| dc.date.accessioned | 2026-07-07T05:54:58Z | |
| dc.date.available | 2026-07-07T05:54:58Z | |
| dc.description | 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. | |
| dc.description | 5 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/physics/0506013 | |
| dc.identifier | http://arxiv.org/abs/physics/0506013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/87154 | |
| dc.subject | General Physics | |
| dc.title | A Map from Scalar Field Theory to Integer Polynomial Solutions | |
| dc.type | text |