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arXiv 0712.2623math-phmath.MPphysics.hist-ph
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杨-米尔斯场强的再讨论

The Yang-Mills field strength revisited

Samuel L. Marateck

摘要:

结合非阿贝尔特征的杨-米尔斯场强是标准模型的基石之一。虽然杨-米尔斯规范理论已经存在了50多年,但令人惊讶的是,使用经典规范理论推导杨-米尔斯场强的方法并没有出现在文献中。在他们1954年的论文中,杨和米尔斯不得不发明一个非阿贝尔场强来满足某些标准。在第5节中,我们使用杨的规范变换在一个启发式推导杨米尔斯场强度。前面的章节涵盖了与推导相关的材料。第3节显示了泡利在杨和米尔斯引用的文章中给出了一个关于换向器的电磁场强度的表达式。出于某种原因,杨和米尔斯没有使用这种方法。

英文摘要:

The Yang-Mills field strength incorporating a non-Abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fifty years, surprisingly the derivation of the Yang-Mills field strength using classical gauge theory does not appear anywhere in the literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian field strength to satisfy certain criteria. In Section 5 we use Yang's gauge transformation in a heuristic derivation of the Yang-Mills field strength. The preceding sections cover material relating to the derivation. Section 3 shows where Pauli in the article cited by Yang and Mills gives an expression for the electro-magnetic field strength in terms of a commutator. For some reason, Yang and Mills did not use this approach.

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。

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