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arXiv 1306.2174gr-qchep-thmath-phmath.MP
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非阿贝尔杨-米尔斯理论中场强最大简化的规范不变方法

Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang-Mills theories

Alcides Garat

AI总结:

本文提出一种新的局部规范不变方法,利用新标架和三个规范不变对象,使SU(2)非阿贝尔场强分块对角化,并发现新的局部可观测量。

摘要:

本文引入了一种新的局部规范不变方法,以最大程度地简化SU(2)非阿贝尔场强的表达式。先前工作中引入的新标架(tetrads)将在本文提出的算法中发挥基础性作用。三个新的局部规范不变对象将引导我们完成使场强分块对角化的过程。该过程也是协变的。任何非平凡的等自旋空间场强投影都将通过此规范不变算法变为分块对角形式。作为应用,我们将在杨-米尔斯理论中发现新的局部可观测量。

英文摘要:

A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works are going to play a fundamental role in the algorithm presented in this manuscript. Three new local gauge invariant objects are going to guide us through the process of making a field strength block diagonal. The process is also covariant. Any non-trivial isospace field strength projection will become block diagonal through this gauge invariant algorithm. As an application we will find new local observables in Yang-Mills theories.

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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