无额外连续维的降维
Dimensional Reduction without Extra Continuous Dimensions
摘要：
我们描述了一种新的方法来减少在经典场论的维。受非交换几何思想的启发，我们引入了时空上微分形式的扩展代数、广义外导数以及与具有离散额外维度的时空“几何”相关的广义联系。我们应用我们的形式主义理论的规范和引力场，并找到自然的几何起源的轴子和介子场，以及希格斯场。
英文摘要：
We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential forms over space-time, generalized exterior derivatives and generalized connections associated with the "geometry" of space-times with discrete extra dimensions. We apply our formalism to theories of gauge- and gravitational fields and find natural geometrical origins for an axion- and a dilaton field, as well as a Higgs field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
