超越标准模型的不可积动力学和物理学

Ervin Goldfain
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引用次数: 1

摘要

可积经典系统的演化导致了守恒量和消失的泊松括号。相反,这种不变量不存在于非可积系统的动力学中,其中包括(但不限于)具有长期混沌行为的确定性模型。本文的目的是简要回顾不可积性的数学背景及其在标准模型(SM)尺度以上的物理展开中的作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-Integrable Dynamics and Physics Beyond the Standard Model
The evolution of integrable classical systems leads to conserved quantities and vanishing Poisson brackets. In contrast, such invariants do not exist in the dynamics of non-integrable systems, which include (but are not limited to) deterministic models with long-term chaotic behavior. The object of this review is to briefly survey the mathematical background of nonintegrability and its role in the physics unfolding well-above the Standard Model (SM) scale.
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