描述费米子和玻色子场内部空间的 "基矢量 "与克利福德奇数(费米子)和克利福德偶数(玻色子)对象能否解释场之间的相互作用,包括引力子?

Norma Susana Mankoč BorštnikDepartment of Physics, University of Ljubljana, Ljubljana, Slovenia
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引用次数: 0

摘要

克利福德奇数和偶数 "基础矢量 "分别描述费米子场和玻色子场的内部空间,在偶数维空间中,如在$d=(13+1)$中,提供了对以族出现的夸克、轻子、反夸克和瞬子以及所有相应的规规场的描述:这不仅解释了{it标准模型}的所有假设,并做出了若干预言,还解释了引力子规量场的存在。本文分析了费米子场和玻色子场在$d=(3+1)$中的表现形式,假定空间在$d=(3+1)$中是平坦的,而所有场只有在$d=(3+1)$中才有非零矩量,那么费曼图所表示的费米子场和玻色子场(包括引力子)的散射是由相应场的 "基向量 "的代数积决定的,有助于散射。在这个理论中出现了两种玻色子规量场,它们在描述散射时都有贡献。我们假设内部空间在$d=(3+1)$起源于$d=(5+1)$和$d=(13+1)$时表现为电子和正电子湮灭成两个光子,以及电子和正电子散射成两个μ介子。该理论为费米子和玻色子二次量子化场之间的相互作用提供了一个优雅而有前景的说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Can the "basis vectors", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?
The Clifford odd and even ``basis vectors'', describing the internal spaces of fermion and boson fields, respectively, offer in even-dimensional spaces, like in $d=(13+1)$, the description of quarks and leptons and antiquarks and antileptons appearing in families, as well as of all the corresponding gauge fields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which not only explain all the assumptions of the {\it standard model}, and makes several predictions, but also explains the existence of the graviton gauge fields. Analysing the properties of fermion and boson fields concerning how they manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the fields have non-zero momenta only in $d=(3+1)$, this article illustrates that scattering of fermion and boson fields, with gravitons included, represented by the Feynman diagrams, are determined by the algebraic products of the corresponding ``basis vectors'' of fields, contributing to scattering. There are two kinds of boson gauge fields appearing in this theory, both contribute when describing scattering. We illustrate, assuming that the internal space, which manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the annihilation of an electron and positron into two photons, and the scattering of an electron and positron into two muons. The theory offers an elegant and promising illustration of the interaction among fermion and boson second quantised fields.
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