V2EX gauge group

Gauge Group

释义 Definition

规范群:在规范理论中描述“局域(位置依赖的)对称变换”的数学结构,通常是一个李群(如 \(U(1)\)、\(SU(2)\)、\(SU(3)\))。它决定了规范场如何变换,以及相互作用的类型(例如电磁相互作用对应 \(U(1)\))。

发音 Pronunciation (IPA)

/ed rup/

例句 Examples

The gauge group of electromagnetism is U(1).
电磁学的规范群是 \(U(1)\)。

In the Standard Model, the gauge group \(SU(3)\times SU(2)\times U(1)\) organizes how quarks and leptons interact through the fundamental forces.
在标准模型中,规范群 \(SU(3)\times SU(2)\times U(1)\) 组织了夸克与轻子如何通过基本相互作用发生作用。

词源 Etymology

gauge 原意与“测量、量规”相关,后来在物理学中引申为对场的某些自由度进行“选择/定标”(如“规范选择”);group 来自数学中的“群”概念。合起来 gauge group 指“描述规范(局域对称)变换所形成的群”。

相关词 Related Words

文学与名著用例 Literary Works

  • Steven Weinberg, The Quantum Theory of Fields(《量子场论》)
  • Michael E. Peskin & Daniel V. Schroeder, An Introduction to Quantum Field Theory(《量子场论导论》)
  • David J. Griffiths, Introduction to Elementary Particles(《基本粒子导论》)
  • John C. Baez & Javier P. Muniain, Gauge Fields, Knots and Gravity(《规范场、结与引力》)
  • Peter Woit, Quantum Theory, Groups and Representations(《量子理论、群与表示》)
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