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arXiv math-ph/0310052math-phmath.MP
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仿紧流形上的场与反常

Fields on Paracompact Manifold and Anomalies

Pierre Grange, Ernst Werner

摘要:

在连续光锥量子化(CLCQ)的处理标量场作为算子值分布和属性的伴随测试功能的回忆。由于欧氏流形的仿紧性,这些测试函数表现为单位分解。这种方法以规范不变的方式推广到QED Dirac场。通过这种测试功能,可以以简单而透明的方式计算通常的三角形异常。

英文摘要:

In Continuum Light Cone Quantization (CLCQ) the treatment of scalar fields as operator valued distributions and properties of the accompanying test functions are recalled. Due to the paracompactness property of the Euclidean manifold these test functions appear as decomposition of unity. The approach is extended to QED Dirac fields in a gauge invariant way. With such test functions the usual triangle anomalies are calculated in a simple and transparent way.

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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