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Reflections on the renormalization procedure for gauge theories

机译:关于规范理论的重新规范化程序的思考

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Various pieces of insight were needed to formulate the rules for working with gauge theories of the electro-magnetic, weak and strong forces. First, it was needed to understand how to formulate the Feynman rules. We had to learn that there are many different ways to derive them, and it was needed to know how different formulations of the gauge constraint lead to the same final results: the calculated values of the scattering amplitudes. The rules for dealing with the infinities that had to be subtracted were a big challenge, culminating in the discovery of the Becchi–Rouet–Stora–Tyutin symmetry. Fond recollections of the numerous discussions the author had with Raymond Stora on this topic are memorised here. We end with some reflections on the mathematical status of quantum field theories, and the transcription of a letter by R. Stora to the author.
机译:需要各种见识来制定规则,以使用电磁,弱和强力的规范理论。首先,需要了解如何制定费曼规则。我们必须学习有很多不同的方法来导出它们,并且需要知道不同的量规约束公式如何导致相同的最终结果:散射幅度的计算值。处理必须减去的无限性的规则是一个很大的挑战,最终导致发现Becchi–Rouet–Stora–Tyutin对称性。在这里记住了作者与雷蒙德·斯托拉(Raymond Stora)进行的众多讨论的回忆。最后,我们对量子场论的数学地位以及R. Stora给作者的一封信进行了一些反思。

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